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12893164344 = 23321771148361
BaseRepresentation
bin11000000000111111…
…00001001100111000
31020021112202121111100
430000133201030320
5202401122224334
65531213131400
7634335042264
oct140037411470
936245677440
1012893164344
115516945225
1225b9a89b60
1312a6206a38
148a44b90a4
15506d9bc99
hex3007e1338

12893164344 has 96 divisors (see below), whose sum is σ = 37494044640. Its totient is φ = 3987916800.

The previous prime is 12893164309. The next prime is 12893164357. The reversal of 12893164344 is 44346139821.

12893164344 is a `hidden beast` number, since 128 + 93 + 1 + 6 + 434 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12893164344.

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, 12724 + ... + 161084.

It is an arithmetic number, because the mean of its divisors is an integer number (390562965).

Almost surely, 212893164344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12893164344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18747022320).

12893164344 is an abundant number, since it is smaller than the sum of its proper divisors (24600880296).

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

12893164344 is a wasteful number, since it uses less digits than its factorization.

12893164344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148461 (or 148454 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 12893164344 in words is "twelve billion, eight hundred ninety-three million, one hundred sixty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 71 72 102 136 142 153 204 213 284 306 408 426 568 612 639 852 1207 1224 1278 1704 2414 2556 3621 4828 5112 7242 9656 10863 14484 21726 28968 43452 86904 148361 296722 445083 593444 890166 1186888 1335249 1780332 2522137 2670498 3560664 5044274 5340996 7566411 10088548 10533631 10681992 15132822 20177096 21067262 22699233 30265644 31600893 42134524 45398466 60531288 63201786 84269048 90796932 94802679 126403572 179071727 181593864 189605358 252807144 358143454 379210716 537215181 716286908 758421432 1074430362 1432573816 1611645543 2148860724 3223291086 4297721448 6446582172 12893164344