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12791808882 = 23217292515743
BaseRepresentation
bin10111110100111001…
…11000001101110010
31020000111001012221100
423322130320031302
5202144200341012
65513152505230
7631664403306
oct137234701562
936014035840
1012791808882
115474708386
12258bb4b216
13128b20a2a8
14894c53d06
154ed02a8dc
hex2fa738372

12791808882 has 96 divisors (see below), whose sum is σ = 30484097280. Its totient is φ = 3858624000.

The previous prime is 12791808871. The next prime is 12791808889. The reversal of 12791808882 is 28880819721.

It is a super-2 number, since 2×127918088822 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12791808889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2224503 + ... + 2230245.

It is an arithmetic number, because the mean of its divisors is an integer number (317542680).

Almost surely, 212791808882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12791808882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15242048640).

12791808882 is an abundant number, since it is smaller than the sum of its proper divisors (17692288398).

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

12791808882 is a wasteful number, since it uses less digits than its factorization.

12791808882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6048 (or 6045 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 12791808882 in words is "twelve billion, seven hundred ninety-one million, eight hundred eight thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 251 261 306 493 502 522 753 986 1479 1506 2259 2958 4267 4437 4518 5743 7279 8534 8874 11486 12801 14558 17229 21837 25602 34458 38403 43674 51687 65511 76806 97631 103374 123743 131022 166547 195262 247486 292893 333094 371229 499641 585786 742458 878679 999282 1113687 1441493 1498923 1757358 2227374 2831299 2882986 2997846 4324479 5662598 8493897 8648958 12973437 16987794 24505381 25481691 25946874 41803297 49010762 50963382 73516143 83606594 125409891 147032286 220548429 250819782 376229673 441096858 710656049 752459346 1421312098 2131968147 4263936294 6395904441 12791808882