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92538141696 = 210327211131433
BaseRepresentation
bin101011000101110110…
…0111111110000000000
322211212010211122222100
41112023230333300000
53004004231013241
6110302245310400
76454116140400
oct1261354776000
9284763748870
1092538141696
1136277406560
1215b26a05400
138959917480
14469c03a800
1526190dd9b6
hex158bb3fc00

92538141696 has 792 divisors, whose sum is σ = 365421826224. Its totient is φ = 22171484160.

The previous prime is 92538141679. The next prime is 92538141697. The reversal of 92538141696 is 69614183529.

92538141696 is a `hidden beast` number, since 9 + 2 + 538 + 1 + 4 + 16 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92538141697) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64575796 + ... + 64577228.

Almost surely, 292538141696 is an apocalyptic number.

92538141696 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 92538141696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182710913112).

92538141696 is an abundant number, since it is smaller than the sum of its proper divisors (272883684528).

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

92538141696 is a wasteful number, since it uses less digits than its factorization.

92538141696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1469 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 92538141696 in words is "ninety-two billion, five hundred thirty-eight million, one hundred forty-one thousand, six hundred ninety-six".