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91139967072 = 253372112367127
BaseRepresentation
bin101010011100001011…
…1011000100001100000
322201020200221000222000
41110320113120201200
52443123312421242
6105511421444000
76404350636500
oct1247027304140
9281220830860
1091139967072
113571a154240
12157b6710600
1387960577cb
1445a8481a00
1525864a9a4c
hex15385d8860

91139967072 has 1152 divisors, whose sum is σ = 360069857280. Its totient is φ = 22129873920.

The previous prime is 91139967067. The next prime is 91139967073. The reversal of 91139967072 is 27076993119.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91139967073) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 717637473 + ... + 717637599.

It is an arithmetic number, because the mean of its divisors is an integer number (312560640).

Almost surely, 291139967072 is an apocalyptic number.

91139967072 is a gapful number since it is divisible by the number (92) 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 91139967072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180034928640).

91139967072 is an abundant number, since it is smaller than the sum of its proper divisors (268929890208).

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

91139967072 is a wasteful number, since it uses less digits than its factorization.

91139967072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 91139967072 in words is "ninety-one billion, one hundred thirty-nine million, nine hundred sixty-seven thousand, seventy-two".