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92234114976 = 253192313915817
BaseRepresentation
bin101010111100110010…
…1001110011110100000
322211001221202111201110
41111321211032132200
53002343413134401
6110212145103320
76443435020203
oct1257145163640
9284057674643
1092234114976
1136130831803
1215a61027b40
13890b9398c3
14466d8d993a
1525ec5869d6
hex157994e7a0

92234114976 has 192 divisors, whose sum is σ = 267868339200. Its totient is φ = 27658008576.

The previous prime is 92234114887. The next prime is 92234114981. The reversal of 92234114976 is 67941143229.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5823420 + ... + 5839236.

It is an arithmetic number, because the mean of its divisors is an integer number (1395147600).

Almost surely, 292234114976 is an apocalyptic number.

92234114976 is a gapful number since it is divisible by the number (96) 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 92234114976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133934169600).

92234114976 is an abundant number, since it is smaller than the sum of its proper divisors (175634224224).

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

92234114976 is a wasteful number, since it uses less digits than its factorization.

92234114976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16011 (or 16003 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The spelling of 92234114976 in words is "ninety-two billion, two hundred thirty-four million, one hundred fourteen thousand, nine hundred seventy-six".