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91983191040 = 21032513971583
BaseRepresentation
bin101010110101010100…
…0000001110000000000
322210102110121020210100
41111222220001300000
53001340144103130
6110131223002400
76434300136426
oct1255250016000
9283373536710
1091983191040
1136012127954
12159b0b99400
13889b9627c0
14464845d116
1525d551dc60
hex156aa01c00

91983191040 has 528 divisors, whose sum is σ = 346993815168. Its totient is φ = 22394437632.

The previous prime is 91983191033. The next prime is 91983191057. The reversal of 91983191040 is 4019138919.

It is a super-2 number, since 2×919831910402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58106089 + ... + 58107671.

It is an arithmetic number, because the mean of its divisors is an integer number (657185256).

Almost surely, 291983191040 is an apocalyptic number.

91983191040 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 91983191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173496907584).

91983191040 is an abundant number, since it is smaller than the sum of its proper divisors (255010624128).

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

91983191040 is a wasteful number, since it uses less digits than its factorization.

91983191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 91983191040 in words is "ninety-one billion, nine hundred eighty-three million, one hundred ninety-one thousand, forty".