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13517073080 = 2357229210809
BaseRepresentation
bin11001001011010111…
…00010101010111000
31021220000202110101022
430211223202222320
5210140332314310
610113141442012
7655652140220
oct144553425270
937800673338
1013517073080
115807043085
122752a10308
131375553bc4
149232c7080
15541a3da55
hex325ae2ab8

13517073080 has 64 divisors (see below), whose sum is σ = 34910136000. Its totient is φ = 4614165504.

The previous prime is 13517073061. The next prime is 13517073083. The reversal of 13517073080 is 8037071531.

13517073080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135170730802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13517073080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13517073083) 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, 41285 + ... + 169524.

It is an arithmetic number, because the mean of its divisors is an integer number (545470875).

Almost surely, 213517073080 is an apocalyptic number.

13517073080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13517073080 is an abundant number, since it is smaller than the sum of its proper divisors (21393062920).

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

13517073080 is a wasteful number, since it uses less digits than its factorization.

13517073080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211056 (or 211052 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The spelling of 13517073080 in words is "thirteen billion, five hundred seventeen million, seventy-three thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 229 280 458 916 1145 1603 1832 2290 3206 4580 6412 8015 9160 12824 16030 32060 64120 210809 421618 843236 1054045 1475663 1686472 2108090 2951326 4216180 5902652 7378315 8432360 11805304 14756630 29513260 48275261 59026520 96550522 193101044 241376305 337926827 386202088 482752610 675853654 965505220 1351707308 1689634135 1931010440 2703414616 3379268270 6758536540 13517073080