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12692988192 = 2532931147073
BaseRepresentation
bin10111101001000111…
…11010000100100000
31012202121002121102210
423310203322010200
5201443401110232
65455302442120
7626354422323
oct136443720440
935677077383
1012692988192
115423951995
122562a33340
1312738ba501
14885a8c7ba
154e450a5cc
hex2f48fa120

12692988192 has 96 divisors (see below), whose sum is σ = 35580142080. Its totient is φ = 3953295360.

The previous prime is 12692988149. The next prime is 12692988193. The reversal of 12692988192 is 29188929621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×126929881922 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12692988193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12768 + ... + 159840.

It is an arithmetic number, because the mean of its divisors is an integer number (370626480).

Almost surely, 212692988192 is an apocalyptic number.

12692988192 is a gapful number since it is divisible by the number (12) 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 12692988192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17790071040).

12692988192 is an abundant number, since it is smaller than the sum of its proper divisors (22887153888).

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

12692988192 is a wasteful number, since it uses less digits than its factorization.

12692988192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147146 (or 147138 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 57.

The spelling of 12692988192 in words is "twelve billion, six hundred ninety-two million, nine hundred eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 87 93 96 116 124 174 186 232 248 348 372 464 496 696 744 899 928 992 1392 1488 1798 2697 2784 2976 3596 5394 7192 10788 14384 21576 28768 43152 86304 147073 294146 441219 588292 882438 1176584 1764876 2353168 3529752 4265117 4559263 4706336 7059504 8530234 9118526 12795351 13677789 14119008 17060468 18237052 25590702 27355578 34120936 36474104 51181404 54711156 68241872 72948208 102362808 109422312 132218627 136483744 145896416 204725616 218844624 264437254 396655881 409451232 437689248 528874508 793311762 1057749016 1586623524 2115498032 3173247048 4230996064 6346494096 12692988192