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13555120968 = 2332188265569
BaseRepresentation
bin11001001111111001…
…01011101101001000
31021222200100111021100
430213330223231020
5210230102332333
610121021141400
7656623425054
oct144774535510
937880314240
1013555120968
115826570014
1227636ba860
1313803b604c
1492838cc64
15545057213
hex327f2bb48

13555120968 has 24 divisors (see below), whose sum is σ = 36711786150. Its totient is φ = 4518373632.

The previous prime is 13555120939. The next prime is 13555120973. The reversal of 13555120968 is 86902155531.

13555120968 is a `hidden beast` number, since 1 + 3 + 5 + 551 + 2 + 0 + 96 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9093148164 + 4461972804 = 95358^2 + 66798^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×135551209682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 94132713 + ... + 94132856.

Almost surely, 213555120968 is an apocalyptic number.

13555120968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13555120968 is an abundant number, since it is smaller than the sum of its proper divisors (23156665182).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13555120968 is a wasteful number, since it uses less digits than its factorization.

13555120968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188265581 (or 188265574 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 13555120968 in words is "thirteen billion, five hundred fifty-five million, one hundred twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 188265569 376531138 564796707 753062276 1129593414 1506124552 1694390121 2259186828 3388780242 4518373656 6777560484 13555120968