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86296103967 = 3291496657109
BaseRepresentation
bin101000001011110100…
…1100000110000011111
322020202010100021221210
41100113221200300133
52403213300311332
6103351024555503
76143332531563
oct1202751406037
9266663307853
1086296103967
11336639a0197
1214884482b93
1381a3666218
1442690256a3
1523a10e5ecc
hex1417a60c1f

86296103967 has 16 divisors (see below), whose sum is σ = 119827980000. Its totient is φ = 55174111104.

The previous prime is 86296103963. The next prime is 86296104001. The reversal of 86296103967 is 76930169268.

It is a happy number.

It is not a de Polignac number, because 86296103967 - 22 = 86296103963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86296103963) 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, 3315592 + ... + 3341517.

It is an arithmetic number, because the mean of its divisors is an integer number (7489248750).

Almost surely, 286296103967 is an apocalyptic number.

86296103967 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

86296103967 is a deficient number, since it is larger than the sum of its proper divisors (33531876033).

86296103967 is a wasteful number, since it uses less digits than its factorization.

86296103967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6657290.

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 86296103967 in words is "eighty-six billion, two hundred ninety-six million, one hundred three thousand, nine hundred sixty-seven".

Divisors: 1 3 29 87 149 447 4321 12963 6657109 19971327 193056161 579168483 991909241 2975727723 28765367989 86296103967