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13117892640 = 2535187314591
BaseRepresentation
bin11000011011110001…
…10010100000100000
31020212012121222202120
430031320302200200
5203331140031030
610005401544240
7643034150646
oct141570624040
936765558676
1013117892640
115621787996
1226611a5080
13131093b668
148c6297196
1551b98d010
hex30de32820

13117892640 has 96 divisors (see below), whose sum is σ = 41346256896. Its totient is φ = 3495997440.

The previous prime is 13117892633. The next prime is 13117892663. The reversal of 13117892640 is 4629871131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 13117892592 and 13117892601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 891745 + ... + 906335.

It is an arithmetic number, because the mean of its divisors is an integer number (430690176).

Almost surely, 213117892640 is an apocalyptic number.

13117892640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13117892640 is an abundant number, since it is smaller than the sum of its proper divisors (28228364256).

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

13117892640 is a wasteful number, since it uses less digits than its factorization.

13117892640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16482 (or 16474 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 13117892640 in words is "thirteen billion, one hundred seventeen million, eight hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1873 3746 5619 7492 9365 11238 14591 14984 18730 22476 28095 29182 29968 37460 43773 44952 56190 58364 59936 72955 74920 87546 89904 112380 116728 145910 149840 175092 179808 218865 224760 233456 291820 299680 350184 437730 449520 466912 583640 700368 875460 899040 1167280 1400736 1750920 2334560 3501840 7003680 27328943 54657886 81986829 109315772 136644715 163973658 218631544 273289430 327947316 409934145 437263088 546578860 655894632 819868290 874526176 1093157720 1311789264 1639736580 2186315440 2623578528 3279473160 4372630880 6558946320 13117892640