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92076344136 = 23337353131179
BaseRepresentation
bin101010111000000101…
…1011000001101001000
322210122221212220211000
41111300023120031020
53002033021003021
6110144351335000
76436511004000
oct1256013301510
9283587786730
1092076344136
113605a772187
1215a18221460
1388b504998a
14465698b000
1525dd7beb26
hex15702d8348

92076344136 has 512 divisors, whose sum is σ = 307929600000. Its totient is φ = 25471031040.

The previous prime is 92076344123. The next prime is 92076344137. The reversal of 92076344136 is 63144367029.

92076344136 is a `hidden beast` number, since 9 + 2 + 0 + 7 + 634 + 4 + 1 + 3 + 6 = 666.

It is a super-2 number, since 2×920763441362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 92076344091 and 92076344100.

It is not an unprimeable number, because it can be changed into a prime (92076344137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 514392895 + ... + 514393073.

It is an arithmetic number, because the mean of its divisors is an integer number (601425000).

Almost surely, 292076344136 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 92076344136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153964800000).

92076344136 is an abundant number, since it is smaller than the sum of its proper divisors (215853255864).

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

92076344136 is a wasteful number, since it uses less digits than its factorization.

92076344136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 92076344136 in words is "ninety-two billion, seventy-six million, three hundred forty-four thousand, one hundred thirty-six".