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57387589056 = 26327191077001
BaseRepresentation
bin110101011100100100…
…010001110111000000
312111010102212120122100
4311130210101313000
51420012210322211
642210303110400
74101055313160
oct653444216700
9174112776570
1057387589056
1122379886056
12b156ba2400
1355474601b5
142ac59405a0
15175d220156
hexd5c911dc0

57387589056 has 336 divisors, whose sum is σ = 199762018560. Its totient is φ = 15386112000.

The previous prime is 57387589033. The next prime is 57387589073. The reversal of 57387589056 is 65098578375.

57387589056 is a `hidden beast` number, since 573 + 8 + 7 + 5 + 8 + 9 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×573875890562 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 57387588984 and 57387589002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8193556 + ... + 8200556.

Almost surely, 257387589056 is an apocalyptic number.

57387589056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57387589056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99881009280).

57387589056 is an abundant number, since it is smaller than the sum of its proper divisors (142374429504).

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

57387589056 is a wasteful number, since it uses less digits than its factorization.

57387589056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7152 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 57387589056 in words is "fifty-seven billion, three hundred eighty-seven million, five hundred eighty-nine thousand, fifty-six".