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91921870656 = 2633731123613
BaseRepresentation
bin101010110011011111…
…0000110111101000000
322210021012012212001000
41111212332012331000
53001223444330111
6110121152412000
76432624003000
oct1254676067500
9283235185030
1091921870656
1135a90554a50
1215994547000
13888c042855
14464025a000
1525cee59c56
hex1566f86f40

91921870656 has 896 divisors, whose sum is σ = 359322624000. Its totient is φ = 22800476160.

The previous prime is 91921870627. The next prime is 91921870687. The reversal of 91921870656 is 65607812919.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149953806 + ... + 149954418.

Almost surely, 291921870656 is an apocalyptic number.

91921870656 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 91921870656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179661312000).

91921870656 is an abundant number, since it is smaller than the sum of its proper divisors (267400753344).

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

91921870656 is a wasteful number, since it uses less digits than its factorization.

91921870656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 91921870656 in words is "ninety-one billion, nine hundred twenty-one million, eight hundred seventy thousand, six hundred fifty-six".