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20416133533230 = 2325379776275303
BaseRepresentation
bin1001010010001100000000…
…11000110000111000101110
32200021202121110010021121100
410221012000120300320232
510133444220141030410
6111231013043543530
74205005551500631
oct451060030607056
980252543107540
1020416133533230
11656148514a776
12235894998aba6
13b51305260036
14508208dd1c18
1525610cd508c0
hex129180630e2e

20416133533230 has 96 divisors (see below), whose sum is σ = 54572403098304. Its totient is φ = 5291736265728.

The previous prime is 20416133533223. The next prime is 20416133533231. The reversal of 20416133533230 is 3233533161402.

20416133533230 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 61 + 33 + 533 + 2 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20416133533231) 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 47 ways as a sum of consecutive naturals, for example, 115759 + ... + 6391061.

It is an arithmetic number, because the mean of its divisors is an integer number (568462532274).

Almost surely, 220416133533230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20416133533230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27286201549152).

20416133533230 is an abundant number, since it is smaller than the sum of its proper divisors (34156269565074).

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

20416133533230 is a wasteful number, since it uses less digits than its factorization.

20416133533230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6276330 (or 6276327 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 20416133533230 its reverse (3233533161402), we get a palindrome (23649666694632).

The spelling of 20416133533230 in words is "twenty trillion, four hundred sixteen billion, one hundred thirty-three million, five hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 977 1110 1665 1954 2931 3330 4885 5862 8793 9770 14655 17586 29310 36149 43965 72298 87930 108447 180745 216894 325341 361490 542235 650682 1084470 1626705 3253410 6275303 12550606 18825909 31376515 37651818 56477727 62753030 94129545 112955454 188259090 232186211 282388635 464372422 564777270 696558633 1160931055 1393117266 2089675899 2321862110 3482793165 4179351798 6130971031 6965586330 10448379495 12261942062 18392913093 20896758990 30654855155 36785826186 55178739279 61309710310 91964565465 110357478558 183929130930 226845928147 275893696395 453691856294 551787392790 680537784441 1134229640735 1361075568882 2041613353323 2268459281470 3402688922205 4083226706646 6805377844410 10208066766615 20416133533230