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13130079768 = 23321341342143
BaseRepresentation
bin11000011101001110…
…10001111000011000
31020220001120011100200
430032213101320120
5203342300023033
610010515102200
7643242556641
oct141647217030
936801504320
1013130079768
1156286512a3
1226652a1960
131313317890
148c7b4a6c8
1551ca99013
hex30e9d1e18

13130079768 has 96 divisors (see below), whose sum is σ = 39230231040. Its totient is φ = 3941475840.

The previous prime is 13130079763. The next prime is 13130079857. The reversal of 13130079768 is 86797003131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130079763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132696 + ... + 209447.

It is an arithmetic number, because the mean of its divisors is an integer number (408648240).

Almost surely, 213130079768 is an apocalyptic number.

13130079768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13130079768 is an abundant number, since it is smaller than the sum of its proper divisors (26100151272).

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

13130079768 is a wasteful number, since it uses less digits than its factorization.

13130079768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342209 (or 342202 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 13130079768 in words is "thirteen billion, one hundred thirty million, seventy-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 41 52 72 78 82 104 117 123 156 164 234 246 312 328 369 468 492 533 738 936 984 1066 1476 1599 2132 2952 3198 4264 4797 6396 9594 12792 19188 38376 342143 684286 1026429 1368572 2052858 2737144 3079287 4105716 4447859 6158574 8211432 8895718 12317148 13343577 14027863 17791436 24634296 26687154 28055726 35582872 40030731 42083589 53374308 56111452 80061462 84167178 106748616 112222904 126250767 160122924 168334356 182362219 252501534 320245848 336668712 364724438 505003068 547086657 729448876 1010006136 1094173314 1458897752 1641259971 2188346628 3282519942 4376693256 6565039884 13130079768