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56774766976 = 273127675171
BaseRepresentation
bin110100111000000010…
…100011000110000000
312102112201201222210021
4310320002203012000
51412233320020401
642025412143224
74046634361654
oct647002430600
9172481658707
1056774766976
112209496a824
12b005907b14
13547a4c5395
142a683baa64
15172451d2a1
hexd380a3180

56774766976 has 64 divisors (see below), whose sum is σ = 116819343360. Its totient is φ = 27456422400.

The previous prime is 56774766949. The next prime is 56774766991. The reversal of 56774766976 is 67966747765.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10976871 + ... + 10982041.

It is an arithmetic number, because the mean of its divisors is an integer number (1825302240).

Almost surely, 256774766976 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 56774766976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58409671680).

56774766976 is an abundant number, since it is smaller than the sum of its proper divisors (60044576384).

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

56774766976 is a wasteful number, since it uses less digits than its factorization.

56774766976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7983 (or 7971 counting only the distinct ones).

The product of its digits is 560105280, while the sum is 70.

The spelling of 56774766976 in words is "fifty-six billion, seven hundred seventy-four million, seven hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 2767 3968 5171 5534 10342 11068 20684 22136 41368 44272 82736 85777 88544 160301 165472 171554 177088 320602 330944 343108 354176 641204 661888 686216 1282408 1372432 2564816 2744864 5129632 5489728 10259264 10979456 14308157 20518528 28616314 57232628 114465256 228930512 443552867 457861024 887105734 915722048 1774211468 1831444096 3548422936 7096845872 14193691744 28387383488 56774766976