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57487112890032 = 24371946320839337
BaseRepresentation
bin11010001001000110000101…
…11100010110011010110000
321112112201021201221221022110
431010203002330112122300
530013332101344440112
6322133114242405320
715052210151062560
oct1504430274263260
9245481251857273
1057487112890032
11173541695a4421
126545479960840
13261001c3022c7
14102a5692c2da0
1569a5898de13c
hex3448c2f166b0

57487112890032 has 320 divisors, whose sum is σ = 179147698257920. Its totient is φ = 15517697513472.

The previous prime is 57487112889917. The next prime is 57487112890057. The reversal of 57487112890032 is 23009821178475.

It is a happy number.

It is a super-2 number, since 2×574871128900322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6156910068 + ... + 6156919404.

It is an arithmetic number, because the mean of its divisors is an integer number (559836557056).

Almost surely, 257487112890032 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 57487112890032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89573849128960).

57487112890032 is an abundant number, since it is smaller than the sum of its proper divisors (121660585367888).

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

57487112890032 is a wasteful number, since it uses less digits than its factorization.

57487112890032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11920 (or 11914 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 57487112890032 in words is "fifty-seven trillion, four hundred eighty-seven billion, one hundred twelve million, eight hundred ninety thousand, thirty-two".