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413057860264 = 237174710389627
BaseRepresentation
bin1100000001011000010…
…10101100001010101000
31110111011201020101211001
412000230022230022220
523231420303012024
6513431155244344
741561646611320
oct6005412541250
91414151211731
10413057860264
1114a1a4437055
12680782a96b4
132cc499bb08a
1415dc64b0280
15ab27e79244
hex602c2ac2a8

413057860264 has 128 divisors (see below), whose sum is σ = 966433628160. Its totient is φ = 161481673728.

The previous prime is 413057860253. The next prime is 413057860279. The reversal of 413057860264 is 462068750314.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4563819 + ... + 4653445.

It is an arithmetic number, because the mean of its divisors is an integer number (7550262720).

Almost surely, 2413057860264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413057860264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483216814080).

413057860264 is an abundant number, since it is smaller than the sum of its proper divisors (553375767896).

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

413057860264 is a wasteful number, since it uses less digits than its factorization.

413057860264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89807 (or 89803 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 413057860264 in words is "four hundred thirteen billion, fifty-seven million, eight hundred sixty thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 68 94 103 119 136 188 206 238 329 376 412 476 658 721 799 824 952 1316 1442 1598 1751 2632 2884 3196 3502 4841 5593 5768 6392 7004 9682 11186 12257 14008 19364 22372 24514 33887 38728 44744 49028 67774 82297 89627 98056 135548 164594 179254 271096 329188 358508 576079 627389 658376 717016 1152158 1254778 1523659 2304316 2509556 3047318 4212469 4608632 5019112 6094636 8424938 9231581 10665613 12189272 16849876 18463162 21331226 29487283 33699752 36926324 42662452 58974566 64621067 71611973 73852648 85324904 117949132 129242134 143223946 156936877 235898264 258484268 286447892 313873754 433884307 501283811 516968536 572895784 627747508 867768614 1002567622 1098558139 1255495016 1735537228 2005135244 2197116278 3037190149 3471074456 4010270488 4394232556 6074380298 7376033219 8788465112 12148760596 14752066438 24297521192 29504132876 51632232533 59008265752 103264465066 206528930132 413057860264