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91157025456 = 2435717197023
BaseRepresentation
bin101010011100101100…
…0011101001010110000
322201021220000200200000
41110321120131022300
52443142144303311
6105513231230000
76404645634420
oct1247130351260
9281256020600
1091157025456
1135728845482
1215800378300
13879974b023
1445aa842480
152587c29056
hex153961d2b0

91157025456 has 240 divisors, whose sum is σ = 320143509504. Its totient is φ = 24512689152.

The previous prime is 91157025437. The next prime is 91157025499. The reversal of 91157025456 is 65452075119.

It is a happy number.

91157025456 is a `hidden beast` number, since 9 + 1 + 1 + 570 + 25 + 4 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364161 + ... + 561183.

Almost surely, 291157025456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91157025456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160071754752).

91157025456 is an abundant number, since it is smaller than the sum of its proper divisors (228986484048).

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

91157025456 is a wasteful number, since it uses less digits than its factorization.

91157025456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197070 (or 197052 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 91157025456 in words is "ninety-one billion, one hundred fifty-seven million, twenty-five thousand, four hundred fifty-six".