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92104831104 = 27311133161887
BaseRepresentation
bin101010111000111100…
…0000011000010000000
322210201221111012120220
41111301320003002000
53002112314043404
6110151250103040
76440305101246
oct1256170030200
9283657435526
1092104831104
1136074859930
1215a2587aa80
1388bac12080
14465a684796
1525e104a4d9
hex1571e03080

92104831104 has 512 divisors, whose sum is σ = 301900677120. Its totient is φ = 24496128000.

The previous prime is 92104831081. The next prime is 92104831109. The reversal of 92104831104 is 40113840129.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (92104831109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103838149 + ... + 103839035.

It is an arithmetic number, because the mean of its divisors is an integer number (589649760).

Almost surely, 292104831104 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 92104831104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150950338560).

92104831104 is an abundant number, since it is smaller than the sum of its proper divisors (209795846016).

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

92104831104 is a wasteful number, since it uses less digits than its factorization.

92104831104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 92104831104 in words is "ninety-two billion, one hundred four million, eight hundred thirty-one thousand, one hundred four".