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12638655822696 = 2332946357168687
BaseRepresentation
bin1011011111101010101010…
…0101110011101101101000
31122202020120122200102011120
42313322222211303231220
53124032431342311241
642514041320455240
72443053446644041
oct267725245635550
948666518612146
1012638655822696
1140330297a5102
12150155831a520
13708a87a97657
143199ddacd8c8
1516db6175a666
hexb7eaa973b68

12638655822696 has 128 divisors (see below), whose sum is σ = 32814620467200. Its totient is φ = 4051660757760.

The previous prime is 12638655822691. The next prime is 12638655822707. The reversal of 12638655822696 is 69622855683621.

It is a self number, because there is not a number n which added to its sum of digits gives 12638655822696.

It is not an unprimeable number, because it can be changed into a prime (12638655822691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183969265 + ... + 184037951.

It is an arithmetic number, because the mean of its divisors is an integer number (256364222400).

Almost surely, 212638655822696 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 12638655822696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16407310233600).

12638655822696 is an abundant number, since it is smaller than the sum of its proper divisors (20175964644504).

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

12638655822696 is a wasteful number, since it uses less digits than its factorization.

12638655822696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69759 (or 69755 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 69.

The spelling of 12638655822696 in words is "twelve trillion, six hundred thirty-eight billion, six hundred fifty-five million, eight hundred twenty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 463 571 696 926 1142 1389 1713 1852 2284 2778 3426 3704 4568 5556 6852 11112 13427 13704 16559 26854 33118 40281 49677 53708 66236 68687 80562 99354 107416 132472 137374 161124 198708 206061 264373 274748 322248 397416 412122 528746 549496 793119 824244 1057492 1586238 1648488 1991923 2114984 3172476 3983846 5975769 6344952 7666817 7967692 11951538 15333634 15935384 23000451 23903076 30667268 31802081 39220277 46000902 47806152 61334536 63604162 78440554 92001804 95406243 117660831 127208324 156881108 184003608 190812486 235321662 254416648 313762216 381624972 470643324 763249944 922260349 941286648 1137388033 1844520698 2274776066 2766781047 3412164099 3689041396 4549552132 5533562094 6824328198 7378082792 9099104264 11067124188 13648656396 18158988251 22134248376 27297312792 36317976502 54476964753 72635953004 108953929506 145271906008 217907859012 435815718024 526610659279 1053221318558 1579831977837 2106442637116 3159663955674 4212885274232 6319327911348 12638655822696