Search a number
-
+
20522211504432 = 24311163823728949
BaseRepresentation
bin1001010101010001100110…
…01000000111000100110000
32200122220102012112112220120
410222220303020013010300
510142213442121120212
6111351435051010240
74215452350411041
oct452506310070460
980586365475816
1020522211504432
1165a246a421570
122375413139980
13b5b30c038331
1450d3cd35a8c8
15258c6a97588c
hex12aa33207130

20522211504432 has 160 divisors (see below), whose sum is σ = 58199216083200. Its totient is φ = 6179735669760.

The previous prime is 20522211504367. The next prime is 20522211504437. The reversal of 20522211504432 is 23440511222502.

It is a super-2 number, since 2×205222115044322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 20522211504393 and 20522211504402.

It is not an unprimeable number, because it can be changed into a prime (20522211504437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708894694 + ... + 708923642.

It is an arithmetic number, because the mean of its divisors is an integer number (363745100520).

Almost surely, 220522211504432 is an apocalyptic number.

20522211504432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20522211504432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29099608041600).

20522211504432 is an abundant number, since it is smaller than the sum of its proper divisors (37677004578768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20522211504432 is a wasteful number, since it uses less digits than its factorization.

20522211504432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37371 (or 37365 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 20522211504432 its reverse (23440511222502), we get a palindrome (43962722726934).

The spelling of 20522211504432 in words is "twenty trillion, five hundred twenty-two billion, two hundred eleven million, five hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 163 176 264 326 489 528 652 978 1304 1793 1956 2608 3586 3912 5379 7172 7824 8237 10758 14344 16474 21516 24711 28688 28949 32948 43032 49422 57898 65896 86064 86847 90607 98844 115796 131792 173694 181214 197688 231592 271821 318439 347388 362428 395376 463184 543642 636878 694776 724856 955317 1087284 1273756 1342631 1389552 1449712 1910634 2174568 2547512 2685262 3821268 4027893 4349136 4718687 5095024 5370524 7642536 8055786 9437374 10741048 14156061 14768941 15285072 16111572 18874748 21482096 28312122 29537882 32223144 37749496 44306823 51905557 56624244 59075764 64446288 75498992 88613646 103811114 113248488 118151528 155716671 177227292 207622228 226496976 236303056 238452913 311433342 354454584 415244456 476905826 622866684 708909168 715358739 830488912 953811652 1245733368 1430717478 1907623304 2491466736 2622982043 2861434956 3815246608 5245964086 5722869912 7868946129 10491928172 11445739824 15737892258 20983856344 31475784516 38867824819 41967712688 62951569032 77735649638 116603474457 125903138064 155471299276 233206948914 310942598552 427546073009 466413897828 621885197104 855092146018 932827795656 1282638219027 1710184292036 1865655591312 2565276438054 3420368584072 5130552876108 6840737168144 10261105752216 20522211504432