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13938593967 = 35531082273
BaseRepresentation
bin11001111101100111…
…00001000010101111
31022222101220221100000
430332303201002233
5212021240001332
610223040235343
71002261044124
oct147663410257
938871827300
1013938593967
115a02a77a51
12285000bb53
13141198bc4c
1496329074b
15568a53b7c
hex33ece10af

13938593967 has 24 divisors (see below), whose sum is σ = 21273177744. Its totient is φ = 9117059328.

The previous prime is 13938593951. The next prime is 13938593983. The reversal of 13938593967 is 76939583931.

13938593967 is a `hidden beast` number, since 1 + 3 + 9 + 38 + 593 + 9 + 6 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (13938593951) and next prime (13938593983).

It is not a de Polignac number, because 13938593967 - 24 = 13938593951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13938593467) 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 23 ways as a sum of consecutive naturals, for example, 528258 + ... + 554015.

It is an arithmetic number, because the mean of its divisors is an integer number (886382406).

Almost surely, 213938593967 is an apocalyptic number.

13938593967 is a deficient number, since it is larger than the sum of its proper divisors (7334583777).

13938593967 is an equidigital number, since it uses as much as digits as its factorization.

13938593967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082341 (or 1082329 counting only the distinct ones).

The product of its digits is 33067440, while the sum is 63.

The spelling of 13938593967 in words is "thirteen billion, nine hundred thirty-eight million, five hundred ninety-three thousand, nine hundred sixty-seven".

Divisors: 1 3 9 27 53 81 159 243 477 1431 4293 12879 1082273 3246819 9740457 29221371 57360469 87664113 172081407 262992339 516244221 1548732663 4646197989 13938593967