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57942693373110 = 2357213171915759791
BaseRepresentation
bin11010010110010110101011…
…01001111110010010110110
321121011021012221000101120120
431023023111221332102312
530043313114000414420
6323122301133312410
715130135646225400
oct1513132551762266
9247137187011516
1057942693373110
111750a3a3934357
1265b9822935706
132643c84893250
141044626dbdb70
156a7350a48d40
hex34b2d5a7e4b6

57942693373110 has 768 divisors, whose sum is σ = 195406072565760. Its totient is φ = 10830940323840.

The previous prime is 57942693373087. The next prime is 57942693373133. The reversal of 57942693373110 is 1137339624975.

It is an interprime number because it is at equal distance from previous prime (57942693373087) and next prime (57942693373133).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 969057315 + ... + 969117105.

It is an arithmetic number, because the mean of its divisors is an integer number (254434990320).

Almost surely, 257942693373110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57942693373110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97703036282880).

57942693373110 is an abundant number, since it is smaller than the sum of its proper divisors (137463379192650).

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

57942693373110 is a wasteful number, since it uses less digits than its factorization.

57942693373110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60021 (or 60014 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 60.

The spelling of 57942693373110 in words is "fifty-seven trillion, nine hundred forty-two billion, six hundred ninety-three million, three hundred seventy-three thousand, one hundred ten".