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86401427079 = 31117314968169
BaseRepresentation
bin101000001110111101…
…1010010011010000111
322021000110112021002210
41100131323102122013
52403422231131304
6103405310234503
76146052004212
oct1203573223207
9267013467083
1086401427079
1133708397a90
12148b37b5a33
1381bc4218a6
144279000779
1523aa49cc89
hex141ded2687

86401427079 has 32 divisors (see below), whose sum is σ = 137359964160. Its totient is φ = 47694412800.

The previous prime is 86401427069. The next prime is 86401427081. The reversal of 86401427079 is 97072410468.

It is not a de Polignac number, because 86401427079 - 223 = 86393038471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86401427029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2466694 + ... + 2501475.

It is an arithmetic number, because the mean of its divisors is an integer number (4292498880).

Almost surely, 286401427079 is an apocalyptic number.

86401427079 is a deficient number, since it is larger than the sum of its proper divisors (50958537081).

86401427079 is a wasteful number, since it uses less digits than its factorization.

86401427079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968231.

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 86401427079 in words is "eighty-six billion, four hundred one million, four hundred twenty-seven thousand, seventy-nine".

Divisors: 1 3 11 17 31 33 51 93 187 341 527 561 1023 1581 5797 17391 4968169 14904507 54649859 84458873 154013239 163949577 253376619 462039717 929047603 1694145629 2618225063 2787142809 5082436887 7854675189 28800475693 86401427079