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12681368994 = 23717294314243
BaseRepresentation
bin10111100111101111…
…00101010110100010
31012201210020021220010
423303313211112202
5201432412301434
65454205425350
7626153600160
oct136367452642
935653207803
1012681368994
115418336248
12255ab6b256
13127137c948
14884306230
154e34b29e9
hex2f3de55a2

12681368994 has 128 divisors (see below), whose sum is σ = 32489994240. Its totient is φ = 3215729664.

The previous prime is 12681368993. The next prime is 12681369017. The reversal of 12681368994 is 49986318621.

It is not an unprimeable number, because it can be changed into a prime (12681368993) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 883237 + ... + 897479.

It is an arithmetic number, because the mean of its divisors is an integer number (253828080).

Almost surely, 212681368994 is an apocalyptic number.

12681368994 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12681368994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16244997120).

12681368994 is an abundant number, since it is smaller than the sum of its proper divisors (19808625246).

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

12681368994 is a wasteful number, since it uses less digits than its factorization.

12681368994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14344.

The product of its digits is 4478976, while the sum is 57.

The spelling of 12681368994 in words is "twelve billion, six hundred eighty-one million, three hundred sixty-eight thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 14 17 21 29 34 42 43 51 58 86 87 102 119 129 174 203 238 258 301 357 406 493 602 609 714 731 903 986 1218 1247 1462 1479 1806 2193 2494 2958 3451 3741 4386 5117 6902 7482 8729 10234 10353 14243 15351 17458 20706 21199 26187 28486 30702 42398 42729 52374 63597 85458 99701 127194 148393 199402 242131 296786 299103 413047 445179 484262 598206 612449 726393 826094 890358 1224898 1239141 1452786 1694917 1837347 2478282 2891329 3389834 3674694 4287143 5084751 5782658 7021799 8574286 8673987 10169502 10411633 12861429 14043598 17347974 17761021 20823266 21065397 25722858 31234899 35522042 42130794 49152593 53283063 62469798 72881431 98305186 106566126 124327147 145762862 147457779 218644293 248654294 294915558 301937357 372981441 437288586 603874714 745962882 905812071 1811624142 2113561499 4227122998 6340684497 12681368994