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13520165640 = 2335270741621
BaseRepresentation
bin11001001011101110…
…10101101100001000
31021220020120120120120
430211313111230020
5210142130300030
610113332023240
7656020340352
oct144567255410
937806516516
1013520165640
115808865613
122753a61b20
131376097717
149238900d2
15541e50010
hex325dd5b08

13520165640 has 64 divisors (see below), whose sum is σ = 40576455360. Its totient is φ = 3603959040.

The previous prime is 13520165621. The next prime is 13520165641. The reversal of 13520165640 is 4656102531.

13520165640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13520165641) by changing a digit.

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, 304030 + ... + 345650.

It is an arithmetic number, because the mean of its divisors is an integer number (634007115).

Almost surely, 213520165640 is an apocalyptic number.

13520165640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13520165640 is an abundant number, since it is smaller than the sum of its proper divisors (27056289720).

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

13520165640 is a wasteful number, since it uses less digits than its factorization.

13520165640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44342 (or 44338 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 13520165640 in words is "thirteen billion, five hundred twenty million, one hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2707 5414 8121 10828 13535 16242 21656 27070 32484 40605 41621 54140 64968 81210 83242 108280 124863 162420 166484 208105 249726 324840 332968 416210 499452 624315 832420 998904 1248630 1664840 2497260 4994520 112668047 225336094 338004141 450672188 563340235 676008282 901344376 1126680470 1352016564 1690020705 2253360940 2704033128 3380041410 4506721880 6760082820 13520165640