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13004939520 = 283251128901
BaseRepresentation
bin11000001110010011…
…11010000100000000
31020120100002101012200
430013021322010000
5203113231031040
65550244553200
7640163106366
oct140711720400
936510071180
1013004939520
115573a49601
12262b3b2800
1312c34110b1
148b5293636
15511aca630
hex30727a100

13004939520 has 108 divisors (see below), whose sum is σ = 44995775916. Its totient is φ = 3467980800.

The previous prime is 13004939491. The next prime is 13004939533. The reversal of 13004939520 is 2593940031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9069133824 + 3935805696 = 95232^2 + 62736^2 .

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, 552931 + ... + 575970.

Almost surely, 213004939520 is an apocalyptic number.

13004939520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13004939520 is an abundant number, since it is smaller than the sum of its proper divisors (31990836396).

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

13004939520 is a wasteful number, since it uses less digits than its factorization.

13004939520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128928 (or 1128911 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 13004939520 in words is "thirteen billion, four million, nine hundred thirty-nine thousand, five 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 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 1128901 2257802 3386703 4515604 5644505 6773406 9031208 10160109 11289010 13546812 16933515 18062416 20320218 22578020 27093624 33867030 36124832 40640436 45156040 50800545 54187248 67734060 72249664 81280872 90312080 101601090 108374496 135468120 144499328 162561744 180624160 203202180 216748992 270936240 288998656 325123488 361248320 406404360 433497984 541872480 650246976 722496640 812808720 866995968 1083744960 1300493952 1444993280 1625617440 2167489920 2600987904 3251234880 4334979840 6502469760 13004939520