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57472410123744 = 25373112110913007
BaseRepresentation
bin11010001000101010101101…
…00101101111110111100000
321112111022100002010000121220
431010111112211233313200
530013111443442424434
6322122243303215040
715051146620452000
oct1504252645576740
9245438302100556
1057472410123744
1117348a04237500
126542655a47480
13260b818225bb5
141029972752000
15699ec8c3dd49
hex34455696fde0

57472410123744 has 576 divisors, whose sum is σ = 193573400832000. Its totient is φ = 14913291402240.

The previous prime is 57472410123721. The next prime is 57472410123757. The reversal of 57472410123744 is 44732101427475.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4418568889 + ... + 4418581895.

It is an arithmetic number, because the mean of its divisors is an integer number (336064932000).

Almost surely, 257472410123744 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 57472410123744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96786700416000).

57472410123744 is an abundant number, since it is smaller than the sum of its proper divisors (136100990708256).

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

57472410123744 is a wasteful number, since it uses less digits than its factorization.

57472410123744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14172 (or 14139 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 51.

The spelling of 57472410123744 in words is "fifty-seven trillion, four hundred seventy-two billion, four hundred ten million, one hundred twenty-three thousand, seven hundred forty-four".