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57580477056 = 2732198273181
BaseRepresentation
bin110101101000000100…
…000101101010000000
312111121212211022020100
4311220010011222000
51420411100231211
642241353242400
74105616656644
oct655004055200
9174555738210
1057580477056
1122468750723
12b1ab703400
1355783c72cb
142b033d0c24
151770122156
hexd68105a80

57580477056 has 192 divisors, whose sum is σ = 174680344800. Its totient is φ = 18155612160.

The previous prime is 57580477049. The next prime is 57580477057. The reversal of 57580477056 is 65077408575.

It is a happy number.

57580477056 is a `hidden beast` number, since 5 + 7 + 580 + 4 + 7 + 7 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×575804770562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57580476993 and 57580477011.

It is not an unprimeable number, because it can be changed into a prime (57580477057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18099786 + ... + 18102966.

Almost surely, 257580477056 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 57580477056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87340172400).

57580477056 is an abundant number, since it is smaller than the sum of its proper divisors (117099867744).

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

57580477056 is a wasteful number, since it uses less digits than its factorization.

57580477056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 57580477056 in words is "fifty-seven billion, five hundred eighty million, four hundred seventy-seven thousand, fifty-six".