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12608794638 = 23311291734231
BaseRepresentation
bin10111011111000101…
…01111000000001110
31012112201200010121000
423233202233000032
5201310322412023
65443054121130
7624312662136
oct135742570016
935481603530
1012608794638
115390377040
12253a7b01a6
13125c31c43b
14878813ac6
154dbe29243
hex2ef8af00e

12608794638 has 128 divisors (see below), whose sum is σ = 31811097600. Its totient is φ = 3666902400.

The previous prime is 12608794619. The next prime is 12608794661. The reversal of 12608794638 is 83649780621.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2977983 + ... + 2982213.

It is an arithmetic number, because the mean of its divisors is an integer number (248524200).

Almost surely, 212608794638 is an apocalyptic number.

12608794638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12608794638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15905548800).

12608794638 is an abundant number, since it is smaller than the sum of its proper divisors (19202302962).

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

12608794638 is a wasteful number, since it uses less digits than its factorization.

12608794638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 12608794638 in words is "twelve billion, six hundred eight million, seven hundred ninety-four thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 173 174 198 261 297 319 346 519 522 594 638 783 957 1038 1557 1566 1903 1914 2871 3114 3806 4231 4671 5017 5709 5742 8462 8613 9342 10034 11418 12693 15051 17127 17226 25386 30102 34254 38079 45153 46541 51381 55187 76158 90306 93082 102762 110374 114237 122699 135459 139623 165561 228474 245398 270918 279246 331122 368097 418869 496683 731963 736194 837738 993366 1104291 1256607 1349689 1463926 1490049 2195889 2208582 2513214 2699378 2980098 3312873 4049067 4391778 6587667 6625746 8051593 8098134 12147201 13175334 16103186 19763001 21226927 24154779 24294402 36441603 39526002 42453854 48309558 63680781 72464337 72883206 127361562 144928674 191042343 217393011 233496197 382084686 434786022 466992394 573127029 700488591 1146254058 1400977182 2101465773 4202931546 6304397319 12608794638