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56238840756 = 2234723739497
BaseRepresentation
bin110100011000000110…
…001001101110110100
312101011101022010020000
4310120012021232310
51410134120401011
641500305311300
74030436154600
oct643006115664
9171141263200
1056238840756
112193a3a549a
12aa96335530
1353c3471a87
142a17152500
1516e245a356
hexd18189bb4

56238840756 has 180 divisors, whose sum is σ = 171499174308. Its totient is φ = 16023474432.

The previous prime is 56238840737. The next prime is 56238840773. The reversal of 56238840756 is 65704883265.

56238840756 is a `hidden beast` number, since 5 + 623 + 8 + 8 + 4 + 0 + 7 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14057896356 + 42180944400 = 118566^2 + 205380^2 .

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5917000 + ... + 5926496.

Almost surely, 256238840756 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 56238840756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85749587154).

56238840756 is an abundant number, since it is smaller than the sum of its proper divisors (115260333552).

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

56238840756 is a wasteful number, since it uses less digits than its factorization.

56238840756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9900 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 56238840756 in words is "fifty-six billion, two hundred thirty-eight million, eight hundred forty thousand, seven hundred fifty-six".