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56600226540 = 2232511135713851
BaseRepresentation
bin110100101101101000…
…101110101011101100
312102002120022102022200
4310231220232223230
51411404124222130
642000215141500
74042414662504
oct645550565354
9172076272280
1056600226540
1122005396a30
12ab77374890
1354502b3510
142a4d144a04
151714042760
hexd2da2eaec

56600226540 has 288 divisors, whose sum is σ = 202108338432. Its totient is φ = 12640320000.

The previous prime is 56600226511. The next prime is 56600226563. The reversal of 56600226540 is 4562200665.

56600226540 is a `hidden beast` number, since 5 + 6 + 600 + 2 + 2 + 6 + 5 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56600226495 and 56600226504.

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, 14695615 + ... + 14699465.

It is an arithmetic number, because the mean of its divisors is an integer number (701765064).

Almost surely, 256600226540 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 56600226540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101054169216).

56600226540 is an abundant number, since it is smaller than the sum of its proper divisors (145508111892).

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

56600226540 is a wasteful number, since it uses less digits than its factorization.

56600226540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 56600226540 in words is "fifty-six billion, six hundred million, two hundred twenty-six thousand, five hundred forty".