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20132204450976 = 253365183357473
BaseRepresentation
bin1001001001111011001001…
…11001010001010010100000
32122021121201221110110112000
410210331210321101102200
510114321223314412401
6110452335042204000
74145334536224002
oct444754471212240
978247657413460
1020132204450976
116462024626882
12231190a653600
13b305c6ab7b17
144d8592402372
1524da414e5186
hex124f64e514a0

20132204450976 has 96 divisors (see below), whose sum is σ = 58719994744320. Its totient is φ = 6710613092352.

The previous prime is 20132204450951. The next prime is 20132204451011. The reversal of 20132204450976 is 67905440223102.

20132204450976 is a `hidden beast` number, since 2 + 0 + 1 + 32 + 2 + 0 + 44 + 509 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56139376 + ... + 56496848.

It is an arithmetic number, because the mean of its divisors is an integer number (611666611920).

Almost surely, 220132204450976 is an apocalyptic number.

It is an amenable number.

20132204450976 is an abundant number, since it is smaller than the sum of its proper divisors (38587790293344).

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

20132204450976 is a wasteful number, since it uses less digits than its factorization.

20132204450976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422675 (or 422661 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20132204450976 in words is "twenty trillion, one hundred thirty-two billion, two hundred four million, four hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 65183 130366 195549 260732 357473 391098 521464 586647 714946 782196 1042928 1072419 1173294 1429892 1564392 1759941 2085856 2144838 2346588 2859784 3128784 3217257 3519882 4289676 4693176 5719568 6257568 6434514 7039764 8579352 9386352 9651771 11439136 12869028 14079528 17158704 18772704 19303542 25738056 28159056 34317408 38607084 51476112 56318112 77214168 102952224 154428336 308856672 23301162559 46602325118 69903487677 93204650236 139806975354 186409300472 209710463031 279613950708 372818600944 419420926062 559227901416 629131389093 745637201888 838841852124 1118455802832 1258262778186 1677683704248 2236911605664 2516525556372 3355367408496 5033051112744 6710734816992 10066102225488 20132204450976