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91394364960 = 2533549942397
BaseRepresentation
bin101010100011110000…
…1110101011000100000
322201220102121210021000
41111013201311120200
52444133424134320
6105552550232000
76413560166343
oct1250741653040
9281812553230
1091394364960
113583a811128
1215867955600
138806979bc2
1445d018445a
15259d9abc90
hex1547875620

91394364960 has 192 divisors, whose sum is σ = 320528880000. Its totient is φ = 24322415616.

The previous prime is 91394364949. The next prime is 91394365043. The reversal of 91394364960 is 6946349319.

91394364960 is a `hidden beast` number, since 91 + 39 + 4 + 36 + 496 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 91394364897 and 91394364906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2134482 + ... + 2176878.

It is an arithmetic number, because the mean of its divisors is an integer number (1669421250).

Almost surely, 291394364960 is an apocalyptic number.

91394364960 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 91394364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160264440000).

91394364960 is an abundant number, since it is smaller than the sum of its proper divisors (229134515040).

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

91394364960 is a wasteful number, since it uses less digits than its factorization.

91394364960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42920 (or 42906 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 91394364960 in words is "ninety-one billion, three hundred ninety-four million, three hundred sixty-four thousand, nine hundred sixty".