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92682499104 = 253413171371181
BaseRepresentation
bin101011001010001001…
…1101011010000100000
322212020012110210010000
41112110103223100200
53004303204432404
6110324443340000
76460521146436
oct1262423532040
9285205423100
1092682499104
11363409443a8
1215b67221600
1389807bbc60
1446b3296d56
152626b06339
hex15944eb420

92682499104 has 480 divisors, whose sum is σ = 313345183536. Its totient is φ = 26621706240.

The previous prime is 92682499103. The next prime is 92682499109. The reversal of 92682499104 is 40199428629.

92682499104 is a `hidden beast` number, since 92 + 68 + 2 + 499 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 67989519504 + 24692979600 = 260748^2 + 157140^2 .

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

It is not an unprimeable number, because it can be changed into a prime (92682499103) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78477394 + ... + 78478574.

Almost surely, 292682499104 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 92682499104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156672591768).

92682499104 is an abundant number, since it is smaller than the sum of its proper divisors (220662684432).

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

92682499104 is a wasteful number, since it uses less digits than its factorization.

92682499104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 92682499104 in words is "ninety-two billion, six hundred eighty-two million, four hundred ninety-nine thousand, one hundred four".