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56009541120 = 2935132324391
BaseRepresentation
bin110100001010011011…
…011100011000000000
312100120101211111020220
4310022123130120000
51404201420303440
641421434503040
74021653146541
oct641233343000
9170511744226
1056009541120
1121831a20265
12aa31594a80
135387ac9510
1429d49044c8
1516cc2648d0
hexd0a6dc600

56009541120 has 320 divisors, whose sum is σ = 201221121024. Its totient is φ = 13186990080.

The previous prime is 56009541101. The next prime is 56009541127. The reversal of 56009541120 is 2114590065.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56009541127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2284125 + ... + 2308515.

Almost surely, 256009541120 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 56009541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100610560512).

56009541120 is an abundant number, since it is smaller than the sum of its proper divisors (145211579904).

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

56009541120 is a wasteful number, since it uses less digits than its factorization.

56009541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24453 (or 24437 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 56009541120 in words is "fifty-six billion, nine million, five hundred forty-one thousand, one hundred twenty".