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56405420792 = 2374725185381
BaseRepresentation
bin110100100010000001…
…100110101011111000
312101120222202021001222
4310202001212223320
51411004241431132
641525015531212
74034531110640
oct644201465370
9171528667058
1056405420792
1121a15431546
12ab22089b08
13541bb27546
142a31315520
151701db2412
hexd22066af8

56405420792 has 64 divisors (see below), whose sum is σ = 123933680640. Its totient is φ = 23564880000.

The previous prime is 56405420767. The next prime is 56405420809. The reversal of 56405420792 is 29702450465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617942 + ... + 703322.

It is an arithmetic number, because the mean of its divisors is an integer number (1936463760).

Almost surely, 256405420792 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 56405420792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61966840320).

56405420792 is an abundant number, since it is smaller than the sum of its proper divisors (67528259848).

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

56405420792 is a wasteful number, since it uses less digits than its factorization.

56405420792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85692 (or 85688 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 56405420792 in words is "fifty-six billion, four hundred five million, four hundred twenty thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 251 329 376 502 658 1004 1316 1757 2008 2632 3514 7028 11797 14056 23594 47188 82579 85381 94376 165158 170762 330316 341524 597667 660632 683048 1195334 2390668 4012907 4781336 8025814 16051628 21430631 28090349 32103256 42861262 56180698 85722524 112361396 150014417 171445048 224722792 300028834 600057668 1007239657 1200115336 2014479314 4028958628 7050677599 8057917256 14101355198 28202710396 56405420792