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13967032328 = 23971131491069
BaseRepresentation
bin11010000001000000…
…00000000000001000
31100001101102202102122
431000200000000020
5212101030013303
610225533550412
71003054546604
oct150040000010
940041382378
1013967032328
115a18031127
122859645408
131417838192
14966d74504
1556b2bee38
hex340800008

13967032328 has 64 divisors (see below), whose sum is σ = 26896590000. Its totient is φ = 6798016512.

The previous prime is 13967032327. The next prime is 13967032351. The reversal of 13967032328 is 82323076931.

It can be written as a sum of positive squares in 8 ways, for example, as 548590084 + 13418442244 = 23422^2 + 115838^2 .

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13064978 + ... + 13066046.

Almost surely, 213967032328 is an apocalyptic number.

It is an amenable number.

13967032328 is a deficient number, since it is larger than the sum of its proper divisors (12929557672).

13967032328 is a wasteful number, since it uses less digits than its factorization.

13967032328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The spelling of 13967032328 in words is "thirteen billion, nine hundred sixty-seven million, thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 97 113 149 194 226 298 388 452 596 776 904 1069 1192 2138 4276 8552 10961 14453 16837 21922 28906 33674 43844 57812 67348 87688 103693 115624 120797 134696 159281 207386 241594 318562 414772 483188 637124 829544 966376 1274248 1633189 3266378 6532756 11717309 13065512 15450257 17998753 23434618 30900514 35997506 46869236 61801028 71995012 93738472 123602056 143990024 1745879041 3491758082 6983516164 13967032328