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56504274540 = 223572291315059
BaseRepresentation
bin110100100111111010…
…101100111001101100
312101211212202112220220
4310213322230321230
51411210043241130
641542510411340
74040141260200
oct644772547154
9171755675826
1056504274540
1121a6620a85a
12ab4b200b50
13543645939c
142a404c8b00
15170a8dc410
hexd27eace6c

56504274540 has 288 divisors, whose sum is σ = 191880057600. Its totient is φ = 12372272640.

The previous prime is 56504274487. The next prime is 56504274557. The reversal of 56504274540 is 4547240565.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 56504274492 and 56504274501.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11166531 + ... + 11171589.

It is an arithmetic number, because the mean of its divisors is an integer number (666250200).

Almost surely, 256504274540 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 56504274540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95940028800).

56504274540 is an abundant number, since it is smaller than the sum of its proper divisors (135375783060).

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

56504274540 is a wasteful number, since it uses less digits than its factorization.

56504274540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5245 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

The spelling of 56504274540 in words is "fifty-six billion, five hundred four million, two hundred seventy-four thousand, five hundred forty".