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88107076961 = 17157251131519
BaseRepresentation
bin101001000001110010…
…1110100110101100001
322102102100000020212122
41102003211310311201
52420420402430321
6104250440234025
76236242540331
oct1220345646541
9272370006778
1088107076961
1134403169a92
12150aaa6b915
1384018c8987
14439b7570c1
15245a0ba8ab
hex1483974d61

88107076961 has 16 divisors (see below), whose sum is σ = 94258805760. Its totient is φ = 82067232000.

The previous prime is 88107076949. The next prime is 88107076991. The reversal of 88107076961 is 16967070188.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-88107076961 is a prime.

It is a super-2 number, since 2×881070769612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88107076921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 604160 + ... + 735678.

It is an arithmetic number, because the mean of its divisors is an integer number (5891175360).

Almost surely, 288107076961 is an apocalyptic number.

It is an amenable number.

88107076961 is a deficient number, since it is larger than the sum of its proper divisors (6151728799).

88107076961 is a wasteful number, since it uses less digits than its factorization.

88107076961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131944.

The product of its (nonzero) digits is 1016064, while the sum is 53.

The spelling of 88107076961 in words is "eighty-eight billion, one hundred seven million, seventy-six thousand, nine hundred sixty-one".

Divisors: 1 17 157 251 2669 4267 39407 131519 669919 2235823 20648483 33011269 351024211 561191573 5182769233 88107076961