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56588201472 = 29311107113277
BaseRepresentation
bin110100101100111010…
…110110111000000000
312102001201200111000210
4310230322312320000
51411343034421342
641555105314120
74042210530135
oct645472667000
9172051614023
1056588201472
1121aa9623360
12ab73335940
13544a962caa
142a4b6d458c
151712e6979c
hexd2ceb6e00

56588201472 has 320 divisors, whose sum is σ = 168070028544. Its totient is φ = 16776560640.

The previous prime is 56588201459. The next prime is 56588201477. The reversal of 56588201472 is 27410288565.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56588201477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204289398 + ... + 204289674.

Almost surely, 256588201472 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 56588201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84035014272).

56588201472 is an abundant number, since it is smaller than the sum of its proper divisors (111481827072).

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

56588201472 is a wasteful number, since it uses less digits than its factorization.

56588201472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 56588201472 in words is "fifty-six billion, five hundred eighty-eight million, two hundred one thousand, four hundred seventy-two".