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92874055680 = 21335573143
BaseRepresentation
bin101011001111110111…
…0011010000000000000
322212201112220212100000
41112133232122000000
53010201224240210
6110355445200000
76465335306430
oct1263756320000
9285645825300
1092874055680
1136429a8a71a
1215bbb400000
1389b13ab043
1446d08bc2c0
152638843ac0
hex159fb9a000

92874055680 has 1344 divisors, whose sum is σ = 403031236608. Its totient is φ = 20065812480.

The previous prime is 92874055663. The next prime is 92874055691. The reversal of 92874055680 is 8655047829.

92874055680 is a `hidden beast` number, since 9 + 2 + 8 + 7 + 4 + 0 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2159861739 + ... + 2159861781.

It is an arithmetic number, because the mean of its divisors is an integer number (299874432).

Almost surely, 292874055680 is an apocalyptic number.

92874055680 is a gapful number since it is divisible by the number (90) 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 92874055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201515618304).

92874055680 is an abundant number, since it is smaller than the sum of its proper divisors (310157180928).

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

92874055680 is an equidigital number, since it uses as much as digits as its factorization.

92874055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 92874055680 in words is "ninety-two billion, eight hundred seventy-four million, fifty-five thousand, six hundred eighty".