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13316872320 = 273252311957
BaseRepresentation
bin11000110011011111…
…10101100010000000
31021101002001012120100
430121233311202000
5204233104403240
610041230442400
7651001355433
oct143157654200
937332035510
1013316872320
115714033304
1226b7963400
131342c2940b
1490489181a
1552e194e30
hex319bf5880

13316872320 has 96 divisors (see below), whose sum is σ = 45984844620. Its totient is φ = 3551164416.

The previous prime is 13316872313. The next prime is 13316872339. The reversal of 13316872320 is 2327861331.

13316872320 is a `hidden beast` number, since 13 + 316 + 8 + 7 + 2 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13309775424 + 7096896 = 115368^2 + 2664^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1150219 + ... + 1161738.

Almost surely, 213316872320 is an apocalyptic number.

13316872320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13316872320 is an abundant number, since it is smaller than the sum of its proper divisors (32667972300).

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

13316872320 is a wasteful number, since it uses less digits than its factorization.

13316872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311982 (or 2311967 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13316872320 in words is "thirteen billion, three hundred sixteen million, eight hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 2311957 4623914 6935871 9247828 11559785 13871742 18495656 20807613 23119570 27743484 34679355 36991312 41615226 46239140 55486968 69358710 73982624 83230452 92478280 104038065 110973936 138717420 147965248 166460904 184956560 208076130 221947872 277434840 295930496 332921808 369913120 416152260 443895744 554869680 665843616 739826240 832304520 887791488 1109739360 1331687232 1479652480 1664609040 2219478720 2663374464 3329218080 4438957440 6658436160 13316872320