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92113116480 = 263257511173
BaseRepresentation
bin101010111001001011…
…1101001110101000000
322210202112002010222200
41111302113221311000
53002121424211410
6110152143433200
76440435400000
oct1256227516500
9283675063880
1092113116480
11360794a8850
1215a285b5800
1388bc853368
14465b800000
1525e1b353c0
hex15725e9d40

92113116480 has 1008 divisors, whose sum is σ = 405566538624. Its totient is φ = 19029749760.

The previous prime is 92113116479. The next prime is 92113116481. The reversal of 92113116480 is 8461131129.

92113116480 is a `hidden beast` number, since 9 + 2 + 1 + 1 + 3 + 1 + 1 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (92113116479) and next prime (92113116481).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92113116481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 532445674 + ... + 532445846.

Almost surely, 292113116480 is an apocalyptic number.

92113116480 is a gapful number since it is divisible by the number (90) 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 92113116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202783269312).

92113116480 is an abundant number, since it is smaller than the sum of its proper divisors (313453422144).

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

92113116480 is a wasteful number, since it uses less digits than its factorization.

92113116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 92113116480 in words is "ninety-two billion, one hundred thirteen million, one hundred sixteen thousand, four hundred eighty".