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56269519540 = 2251319294761137
BaseRepresentation
bin110100011001111011…
…001011101010110100
312101020112000202121021
4310121323023222310
51410214444111130
641503323030524
74031261011243
oct643173135264
9171215022537
1056269519540
1121955749963
12aaa466b444
1353c99239c0
142a1b25a95a
1516e4eba37a
hexd19ecbab4

56269519540 has 384 divisors, whose sum is σ = 144890726400. Its totient is φ = 18161418240.

The previous prime is 56269519519. The next prime is 56269519543. The reversal of 56269519540 is 4591596265.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56269519543) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 410726352 + ... + 410726488.

It is an arithmetic number, because the mean of its divisors is an integer number (377319600).

Almost surely, 256269519540 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 56269519540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72445363200).

56269519540 is an abundant number, since it is smaller than the sum of its proper divisors (88621206860).

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

56269519540 is a wasteful number, since it uses less digits than its factorization.

56269519540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 52.

The spelling of 56269519540 in words is "fifty-six billion, two hundred sixty-nine million, five hundred nineteen thousand, five hundred forty".