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13287894960 = 2435178339239
BaseRepresentation
bin11000110000000010…
…10010111110110000
31021022001112000002210
430120001102332300
5204203200114320
610034313412120
7650200146354
oct143001227660
937261460083
1013287894960
1156a974117a
1226aa10a040
131339c21a52
14900aab464
1552b86e0e0
hex318052fb0

13287894960 has 160 divisors (see below), whose sum is σ = 44142174720. Its totient is φ = 3294736384.

The previous prime is 13287894953. The next prime is 13287894973. The reversal of 13287894960 is 6949878231.

It is a self number, because there is not a number n which added to its sum of digits gives 13287894960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319021 + ... + 358259.

It is an arithmetic number, because the mean of its divisors is an integer number (275888592).

Almost surely, 213287894960 is an apocalyptic number.

13287894960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13287894960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22071087360).

13287894960 is an abundant number, since it is smaller than the sum of its proper divisors (30854279760).

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

13287894960 is a wasteful number, since it uses less digits than its factorization.

13287894960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39355 (or 39349 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 13287894960 in words is "thirteen billion, two hundred eighty-seven million, eight hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 83 85 102 120 136 166 170 204 240 249 255 272 332 340 408 415 498 510 664 680 816 830 996 1020 1245 1328 1360 1411 1660 1992 2040 2490 2822 3320 3984 4080 4233 4980 5644 6640 7055 8466 9960 11288 14110 16932 19920 21165 22576 28220 33864 39239 42330 56440 67728 78478 84660 112880 117717 156956 169320 196195 235434 313912 338640 392390 470868 588585 627824 667063 784780 941736 1177170 1334126 1569560 1883472 2001189 2354340 2668252 3139120 3256837 3335315 4002378 4708680 5336504 6513674 6670630 8004756 9417360 9770511 10005945 10673008 13027348 13341260 16009512 16284185 19541022 20011890 26054696 26682520 32019024 32568370 39082044 40023780 48852555 52109392 53365040 55366229 65136740 78164088 80047560 97705110 110732458 130273480 156328176 160095120 166098687 195410220 221464916 260546960 276831145 332197374 390820440 442929832 553662290 664394748 781640880 830493435 885859664 1107324580 1328789496 1660986870 2214649160 2657578992 3321973740 4429298320 6643947480 13287894960