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14688610152 = 23323222111981
BaseRepresentation
bin11011010111000001…
…00110011101101000
31101220200012201010020
431223200212131220
5220040241011102
610425311520440
71026666061206
oct155340463550
941820181106
1014688610152
116258379237
122a1b229120
131501190bc8
149d4b28076
155ae805bbc
hex36b826768

14688610152 has 64 divisors (see below), whose sum is σ = 38338565760. Its totient is φ = 4680825600.

The previous prime is 14688610091. The next prime is 14688610163. The reversal of 14688610152 is 25101688641.

14688610152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1220002 + ... + 1231982.

It is an arithmetic number, because the mean of its divisors is an integer number (599040090).

Almost surely, 214688610152 is an apocalyptic number.

14688610152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14688610152 is an abundant number, since it is smaller than the sum of its proper divisors (23649955608).

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

14688610152 is a wasteful number, since it uses less digits than its factorization.

14688610152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14234 (or 14230 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 14688610152 in words is "fourteen billion, six hundred eighty-eight million, six hundred ten thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 2221 4442 6663 8884 11981 13326 17768 23962 26652 35943 47924 51083 53304 71886 95848 102166 143772 153249 204332 275563 287544 306498 408664 551126 612996 826689 1102252 1225992 1653378 2204504 3306756 6613512 26609801 53219602 79829403 106439204 159658806 212878408 319317612 612025423 638635224 1224050846 1836076269 2448101692 3672152538 4896203384 7344305076 14688610152