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12013880688 = 2433177572161
BaseRepresentation
bin10110011000001010…
…10100010101110000
31011000021020101002000
423030011110111300
5144101023140223
65304043054000
7603500205135
oct131405242560
934007211060
1012013880688
115105582417
1223b3511300
131195cb4854
1481d7d258c
154a4ab3543
hex2cc154570

12013880688 has 160 divisors (see below), whose sum is σ = 36577926720. Its totient is φ = 3762339840.

The previous prime is 12013880687. The next prime is 12013880707. The reversal of 12013880688 is 88608831021.

12013880688 is a `hidden beast` number, since 1 + 201 + 388 + 0 + 68 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013880687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5558328 + ... + 5560488.

It is an arithmetic number, because the mean of its divisors is an integer number (228612042).

Almost surely, 212013880688 is an apocalyptic number.

12013880688 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 12013880688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18288963360).

12013880688 is an abundant number, since it is smaller than the sum of its proper divisors (24564046032).

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

12013880688 is a wasteful number, since it uses less digits than its factorization.

12013880688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 12013880688 in words is "twelve billion, thirteen million, eight hundred eighty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 757 816 918 1224 1514 1836 2161 2271 2448 3028 3672 4322 4542 6056 6483 6813 7344 8644 9084 12112 12869 12966 13626 17288 18168 19449 20439 25738 25932 27252 34576 36336 36737 38607 38898 40878 51476 51864 54504 58347 73474 77214 77796 81756 102952 103728 109008 110211 115821 116694 146948 154428 155592 163512 205904 220422 231642 233388 293896 308856 311184 327024 330633 347463 440844 463284 466776 587792 617712 661266 694926 881688 926568 933552 991899 1322532 1389852 1635877 1763376 1853136 1983798 2645064 2779704 3271754 3967596 4907631 5290128 5559408 6543508 7935192 9815262 13087016 14722893 15870384 19630524 26174032 27809909 29445786 39261048 44168679 55619818 58891572 78522096 83429727 88337358 111239636 117783144 166859454 176674716 222479272 235566288 250289181 333718908 353349432 444958544 500578362 667437816 706698864 750867543 1001156724 1334875632 1501735086 2002313448 3003470172 4004626896 6006940344 12013880688