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56565739240920 = 233257132517878741
BaseRepresentation
bin11001101110010001111001…
…10010110011110111011000
321102021122001121212222111100
430313020330302303313120
524403233113221202140
6320145535235431400
714625511515222330
oct1467107462636730
9242248047788440
1056565739240920
1117029439154708
12641699b755560
1325741846b7b60
14dd7b214020c0
15681610c59530
hex33723ccb3dd8

56565739240920 has 768 divisors, whose sum is σ = 227479070407680. Its totient is φ = 11870737920000.

The previous prime is 56565739240891. The next prime is 56565739240921. The reversal of 56565739240920 is 2904293756565.

It is a happy number.

56565739240920 is a `hidden beast` number, since 5 + 6 + 56 + 5 + 73 + 92 + 409 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56565739240921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6471307750 + ... + 6471316490.

It is an arithmetic number, because the mean of its divisors is an integer number (296196706260).

Almost surely, 256565739240920 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 56565739240920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113739535203840).

56565739240920 is an abundant number, since it is smaller than the sum of its proper divisors (170913331166760).

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

56565739240920 is a wasteful number, since it uses less digits than its factorization.

56565739240920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9816 (or 9809 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 56565739240920 in words is "fifty-six trillion, five hundred sixty-five billion, seven hundred thirty-nine million, two hundred forty thousand, nine hundred twenty".