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13115394288 = 243516212081
BaseRepresentation
bin11000011011011110…
…10000100011110000
31020212000221001200000
430031233100203300
5203330020104123
610005232230000
7643004004063
oct141557204360
936760831600
1013115394288
115620330937
12266039b300
131310275449
148c5c068da
1551b647b43
hex30dbd08f0

13115394288 has 120 divisors (see below), whose sum is σ = 38106113136. Its totient is φ = 4367001600.

The previous prime is 13115394269. The next prime is 13115394301. The reversal of 13115394288 is 88249351131.

13115394288 is a `hidden beast` number, since 1 + 31 + 1 + 539 + 4 + 2 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6301408 + ... + 6303488.

Almost surely, 213115394288 is an apocalyptic number.

13115394288 is a gapful number since it is divisible by the number (18) 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 13115394288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19053056568).

13115394288 is an abundant number, since it is smaller than the sum of its proper divisors (24990718848).

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

13115394288 is a wasteful number, since it uses less digits than its factorization.

13115394288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725 (or 3707 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 13115394288 in words is "thirteen billion, one hundred fifteen million, three hundred ninety-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1621 1944 2081 3242 3888 4162 4863 6243 6484 8324 9726 12486 12968 14589 16648 18729 19452 24972 25936 29178 33296 37458 38904 43767 49944 56187 58356 74916 77808 87534 99888 112374 116712 131301 149832 168561 175068 224748 233424 262602 299664 337122 350136 393903 449496 505683 525204 674244 700272 787806 898992 1011366 1050408 1348488 1575612 2022732 2100816 2696976 3151224 3373301 4045464 6302448 6746602 8090928 10119903 13493204 20239806 26986408 30359709 40479612 53972816 60719418 80959224 91079127 121438836 161918448 182158254 242877672 273237381 364316508 485755344 546474762 728633016 819712143 1092949524 1457266032 1639424286 2185899048 3278848572 4371798096 6557697144 13115394288