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92540380608 = 26331331132887
BaseRepresentation
bin101011000101111010…
…1100010010111000000
322211212022001102012000
41112023311202113000
53004010314134413
6110302405304000
76454144154004
oct1261365422700
9284768042160
1092540380608
11362786a56a5
1215b27705000
13895a21c580
14469c460704
1526193d2073
hex158bd625c0

92540380608 has 224 divisors, whose sum is σ = 302431825920. Its totient is φ = 27555240960.

The previous prime is 92540380567. The next prime is 92540380619. The reversal of 92540380608 is 80608304529.

92540380608 is a `hidden beast` number, since 9 + 2 + 5 + 4 + 0 + 38 + 0 + 608 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629941 + ... + 762827.

It is an arithmetic number, because the mean of its divisors is an integer number (1350142080).

Almost surely, 292540380608 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 92540380608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151215912960).

92540380608 is an abundant number, since it is smaller than the sum of its proper divisors (209891445312).

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

92540380608 is a wasteful number, since it uses less digits than its factorization.

92540380608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132952 (or 132936 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 92540380608 in words is "ninety-two billion, five hundred forty million, three hundred eighty thousand, six hundred eight".