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56602255360 = 21357434591
BaseRepresentation
bin110100101101110000…
…011110000000000000
312102002201010111100011
4310231300132000000
51411410134132420
642000330434304
74042441142440
oct645560360000
9172081114304
1056602255360
1122006552242
12ab77b92994
135450843ac1
142a4d512120
1517142e395a
hexd2dc1e000

56602255360 has 224 divisors, whose sum is σ = 158887314432. Its totient is φ = 18951045120.

The previous prime is 56602255357. The next prime is 56602255393. The reversal of 56602255360 is 6355220665.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12326665 + ... + 12331255.

It is an arithmetic number, because the mean of its divisors is an integer number (709318368).

Almost surely, 256602255360 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 56602255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79443657216).

56602255360 is an abundant number, since it is smaller than the sum of its proper divisors (102285059072).

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

56602255360 is an equidigital number, since it uses as much as digits as its factorization.

56602255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

The spelling of 56602255360 in words is "fifty-six billion, six hundred two million, two hundred fifty-five thousand, three hundred sixty".