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12602692144 = 2471721293109
BaseRepresentation
bin10111011110010110…
…11101001000110000
31012112022012002112201
423233023131020300
5201302242122034
65442315232544
7624210054460
oct135713351060
935468162481
1012602692144
115387989159
122538748754
13125ac938b3
14877aa5ba0
154db621014
hex2ef2dd230

12602692144 has 80 divisors (see below), whose sum is σ = 29570875200. Its totient is φ = 5079416832.

The previous prime is 12602692121. The next prime is 12602692163. The reversal of 12602692144 is 44129620621.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4052062 + ... + 4055170.

It is an arithmetic number, because the mean of its divisors is an integer number (369635940).

Almost surely, 212602692144 is an apocalyptic number.

12602692144 is a gapful number since it is divisible by the number (14) 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 12602692144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14785437600).

12602692144 is an abundant number, since it is smaller than the sum of its proper divisors (16968183056).

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

12602692144 is a wasteful number, since it uses less digits than its factorization.

12602692144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270 (or 5264 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 12602692144 in words is "twelve billion, six hundred two million, six hundred ninety-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 2129 3109 4258 6218 8516 12436 14903 17032 21763 24872 29806 34064 36193 43526 49744 52853 59612 72386 87052 105706 119224 144772 174104 211412 238448 253351 289544 348208 369971 422824 506702 579088 739942 845648 1013404 1479884 2026808 2959768 4053616 5919536 6619061 13238122 26476244 46333427 52952488 92666854 105904976 112524037 185333708 225048074 370667416 450096148 741334832 787668259 900192296 1575336518 1800384592 3150673036 6301346072 12602692144