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20183194332240 = 2435796411660709
BaseRepresentation
bin1001001011011010001000…
…01000001110110001010000
32122110111100111220210221220
410211231010020032301100
510121140140222112430
6110532010444245040
74152121241114652
oct445550410166120
978414314823856
1020183194332240
116481710031315
12231b77ab40780
13b353619610b4
144dac2c3a86d2
15250027c1d110
hex125b4420ec50

20183194332240 has 160 divisors (see below), whose sum is σ = 63458784806400. Its totient is φ = 5305762775040.

The previous prime is 20183194332173. The next prime is 20183194332247. The reversal of 20183194332240 is 4223349138102.

It is a super-2 number, since 2×201831943322402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20183194332192 and 20183194332201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20183194332247) 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, 11323006 + ... + 12983714.

It is an arithmetic number, because the mean of its divisors is an integer number (396617405040).

Almost surely, 220183194332240 is an apocalyptic number.

20183194332240 is a gapful number since it is divisible by the number (20) 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 20183194332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31729392403200).

20183194332240 is an abundant number, since it is smaller than the sum of its proper divisors (43275590474160).

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

20183194332240 is a wasteful number, since it uses less digits than its factorization.

20183194332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661445 (or 1661439 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 20183194332240 in words is "twenty trillion, one hundred eighty-three billion, one hundred ninety-four million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 641 790 948 1185 1264 1282 1580 1896 1923 2370 2564 3160 3205 3792 3846 4740 5128 6320 6410 7692 9480 9615 10256 12820 15384 18960 19230 25640 30768 38460 50639 51280 76920 101278 151917 153840 202556 253195 303834 405112 506390 607668 759585 810224 1012780 1215336 1519170 1660709 2025560 2430672 3038340 3321418 4051120 4982127 6076680 6642836 8303545 9964254 12153360 13285672 16607090 19928508 24910635 26571344 33214180 39857016 49821270 66428360 79714032 99642540 131196011 132856720 199285080 262392022 393588033 398570160 524784044 655980055 787176066 1049568088 1064514469 1311960110 1574352132 1967940165 2099136176 2129028938 2623920220 3148704264 3193543407 3935880330 4258057876 5247840440 5322572345 6297408528 6387086814 7871760660 8516115752 10495680880 10645144690 12774173628 15743521320 15967717035 17032231504 21290289380 25548347256 31487042640 31935434070 42580578760 51096694512 63870868140 84096643051 85161157520 127741736280 168193286102 252289929153 255483472560 336386572204 420483215255 504579858306 672773144408 840966430510 1009159716612 1261449645765 1345546288816 1681932861020 2018319433224 2522899291530 3363865722040 4036638866448 5045798583060 6727731444080 10091597166120 20183194332240