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91151486676096 = 27371123997134437
BaseRepresentation
bin10100101110011011011011…
…111110111110110010000000
3102221201222220211102012000120
4110232123123332332302000
543421411221042113341
6521510225341220240
725125322545650610
oct2456333376766200
9387658824365016
1091151486676096
1127053145a06a30
12a281928561680
133bb2718841202
141871a81112a40
15a810d5489066
hex52e6dbfbec80

91151486676096 has 512 divisors, whose sum is σ = 315308174929920. Its totient is φ = 22623449333760.

The previous prime is 91151486676049. The next prime is 91151486676137. The reversal of 91151486676096 is 69067668415119.

It is a super-2 number, since 2×911514866760962 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 91151486676096.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 677956590 + ... + 678091026.

It is an arithmetic number, because the mean of its divisors is an integer number (615836279160).

Almost surely, 291151486676096 is an apocalyptic number.

91151486676096 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 91151486676096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157654087464960).

91151486676096 is an abundant number, since it is smaller than the sum of its proper divisors (224156688253824).

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

91151486676096 is a wasteful number, since it uses less digits than its factorization.

91151486676096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135492 (or 135480 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 69.

The spelling of 91151486676096 in words is "ninety-one trillion, one hundred fifty-one billion, four hundred eighty-six million, six hundred seventy-six thousand, ninety-six".