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13564314060 = 223511193106487
BaseRepresentation
bin11001010000111111…
…10000000111001100
31022000022122112211020
430220133300013030
5210234431022220
610121550154140
7660064524063
oct145037600714
938008575736
1013564314060
115830779a10
1227667b2950
13138228454b
149296a31da
15545c71040
hex3287f01cc

13564314060 has 96 divisors (see below), whose sum is σ = 41647882752. Its totient is φ = 3271249920.

The previous prime is 13564314037. The next prime is 13564314077. The reversal of 13564314060 is 6041346531.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 74137 + ... + 180623.

It is an arithmetic number, because the mean of its divisors is an integer number (433832112).

Almost surely, 213564314060 is an apocalyptic number.

13564314060 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 13564314060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20823941376).

13564314060 is an abundant number, since it is smaller than the sum of its proper divisors (28083568692).

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

13564314060 is a wasteful number, since it uses less digits than its factorization.

13564314060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106703 (or 106701 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 13564314060 in words is "thirteen billion, five hundred sixty-four million, three hundred fourteen thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 193 220 330 386 579 660 772 965 1158 1930 2123 2316 2895 3860 4246 5790 6369 8492 10615 11580 12738 21230 25476 31845 42460 63690 106487 127380 212974 319461 425948 532435 638922 1064870 1171357 1277844 1597305 2129740 2342714 3194610 3514071 4685428 5856785 6389220 7028142 11713570 14056284 17570355 20551991 23427140 35140710 41103982 61655973 70281420 82207964 102759955 123311946 205519910 226071901 246623892 308279865 411039820 452143802 616559730 678215703 904287604 1130359505 1233119460 1356431406 2260719010 2712862812 3391078515 4521438020 6782157030 13564314060