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13967032329 = 321791287793
BaseRepresentation
bin11010000001000000…
…00000000000001001
31100001101102202102200
431000200000000021
5212101030013304
610225533550413
71003054546605
oct150040000011
940041382380
1013967032329
115a18031128
122859645409
131417838193
14966d74505
1556b2bee39
hex340800009

13967032329 has 12 divisors (see below), whose sum is σ = 21361343796. Its totient is φ = 8763628032.

The previous prime is 13967032327. The next prime is 13967032351. The reversal of 13967032329 is 92323076931.

It can be written as a sum of positive squares in 2 ways, for example, as 12989844729 + 977187600 = 113973^2 + 31260^2 .

It is not a de Polignac number, because 13967032329 - 21 = 13967032327 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13967032327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45643744 + ... + 45644049.

It is an arithmetic number, because the mean of its divisors is an integer number (1780111983).

Almost surely, 213967032329 is an apocalyptic number.

It is an amenable number.

13967032329 is a deficient number, since it is larger than the sum of its proper divisors (7394311467).

13967032329 is a wasteful number, since it uses less digits than its factorization.

13967032329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91287816 (or 91287813 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 13967032329 in words is "thirteen billion, nine hundred sixty-seven million, thirty-two thousand, three hundred twenty-nine".

Divisors: 1 3 9 17 51 153 91287793 273863379 821590137 1551892481 4655677443 13967032329