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56462434464 = 253896608431
BaseRepresentation
bin110100100101011011…
…000110000010100000
312101201222000212010110
4310211123012002200
51411113340400324
641534413531320
74036122526362
oct644533060240
9171658025113
1056462434464
1121a44632787
12ab391a3b40
13542a89a147
142a38b16d32
151706dc5329
hexd256c60a0

56462434464 has 48 divisors (see below), whose sum is σ = 149879237760. Its totient is φ = 18609338880.

The previous prime is 56462434451. The next prime is 56462434481. The reversal of 56462434464 is 46443426465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3295672 + ... + 3312759.

It is an arithmetic number, because the mean of its divisors is an integer number (3122484120).

Almost surely, 256462434464 is an apocalyptic number.

It is an amenable number.

56462434464 is an abundant number, since it is smaller than the sum of its proper divisors (93416803296).

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

56462434464 is a wasteful number, since it uses less digits than its factorization.

56462434464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6608533 (or 6608525 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 48.

The spelling of 56462434464 in words is "fifty-six billion, four hundred sixty-two million, four hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 6608431 13216862 19825293 26433724 39650586 52867448 79301172 105734896 158602344 211469792 317204688 588150359 634409376 1176300718 1764451077 2352601436 3528902154 4705202872 7057804308 9410405744 14115608616 18820811488 28231217232 56462434464