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13059922960 = 2457219117443
BaseRepresentation
bin11000010100110111…
…01001110000010000
31020201011112211022101
430022123221300100
5203221320013320
65555531250144
7641431341100
oct141233516020
936634484271
1013059922960
1155a1a93467
1226458a9954
131301922886
148bc6c7200
1551683bc0a
hex30a6e9c10

13059922960 has 120 divisors (see below), whose sum is σ = 35508727296. Its totient is φ = 4453989120.

The previous prime is 13059922919. The next prime is 13059922961. The reversal of 13059922960 is 6922995031.

It is a super-2 number, since 2×130599229602 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13059922960.

It is not an unprimeable number, because it can be changed into a prime (13059922961) 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, 739999 + ... + 757441.

Almost surely, 213059922960 is an apocalyptic number.

13059922960 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 13059922960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17754363648).

13059922960 is an abundant number, since it is smaller than the sum of its proper divisors (22448804336).

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

13059922960 is a wasteful number, since it uses less digits than its factorization.

13059922960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17661 (or 17648 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 46.

The spelling of 13059922960 in words is "thirteen billion, fifty-nine million, nine hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 191 196 245 280 382 392 490 560 764 784 955 980 1337 1528 1910 1960 2674 3056 3820 3920 5348 6685 7640 9359 10696 13370 15280 17443 18718 21392 26740 34886 37436 46795 53480 69772 74872 87215 93590 106960 122101 139544 149744 174430 187180 244202 279088 348860 374360 488404 610505 697720 748720 854707 976808 1221010 1395440 1709414 1953616 2442020 3331613 3418828 4273535 4884040 6663226 6837656 8547070 9768080 13326452 13675312 16658065 17094140 23321291 26652904 33316130 34188280 46642582 53305808 66632260 68376560 93285164 116606455 133264520 163249037 186570328 233212910 266529040 326498074 373140656 466425820 652996148 816245185 932851640 1305992296 1632490370 1865703280 2611984592 3264980740 6529961480 13059922960