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56316908559744 = 27327232117571901
BaseRepresentation
bin11001100111000010011010…
…10101000101110110000000
321101101211210012001200020200
430303201031111011312000
524340144012042402434
6315435344114405200
714601522331304340
oct1463411525056600
9241354705050220
1056316908559744
1116a42959780a58
126396716890800
13255687a96a3c1
14dc9a78014d20
15679dea91a199
hex33384d545d80

56316908559744 has 768 divisors, whose sum is σ = 194536160732160. Its totient is φ = 15289731072000.

The previous prime is 56316908559719. The next prime is 56316908559931. The reversal of 56316908559744 is 44795580961365.

It is a happy number.

56316908559744 is a `hidden beast` number, since 5 + 6 + 3 + 1 + 69 + 0 + 8 + 559 + 7 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 29624885194 + ... + 29624887094.

It is an arithmetic number, because the mean of its divisors is an integer number (253302292620).

Almost surely, 256316908559744 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 56316908559744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97268080366080).

56316908559744 is an abundant number, since it is smaller than the sum of its proper divisors (138219252172416).

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

56316908559744 is a wasteful number, since it uses less digits than its factorization.

56316908559744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 56316908559744 in words is "fifty-six trillion, three hundred sixteen billion, nine hundred eight million, five hundred fifty-nine thousand, seven hundred forty-four".