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12841880844 = 22313891277283
BaseRepresentation
bin10111111010110111…
…11000110100001100
31020010222021010202110
423331123320310030
5202300010141334
65522142024020
7633143120562
oct137533706414
936128233673
1012841880844
11549a9a8171
1225a4878010
1312986bc380
1489b769a32
1550261bae9
hex2fd6f8d0c

12841880844 has 96 divisors (see below), whose sum is σ = 32893378560. Its totient is φ = 3875655168.

The previous prime is 12841880839. The next prime is 12841880861. The reversal of 12841880844 is 44808814821.

It is a happy number.

It is a super-2 number, since 2×128418808442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12841880793 and 12841880802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1759627 + ... + 1766909.

It is an arithmetic number, because the mean of its divisors is an integer number (342639360).

Almost surely, 212841880844 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 12841880844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16446689280).

12841880844 is an abundant number, since it is smaller than the sum of its proper divisors (20051497716).

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

12841880844 is a wasteful number, since it uses less digits than its factorization.

12841880844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7519 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 12841880844 in words is "twelve billion, eight hundred forty-one million, eight hundred eighty thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 127 156 178 254 267 356 381 508 534 762 1068 1157 1524 1651 2314 3302 3471 4628 4953 6604 6942 7283 9906 11303 13884 14566 19812 21849 22606 29132 33909 43698 45212 67818 87396 94679 135636 146939 189358 284037 293878 378716 440817 568074 587756 648187 881634 924941 1136148 1296374 1763268 1849882 1944561 2592748 2774823 3699764 3889122 5549646 7778244 8426431 11099292 12024233 16852862 24048466 25279293 33705724 36072699 48096932 50558586 72145398 82319749 101117172 144290796 164639498 246959247 329278996 493918494 987836988 1070156737 2140313474 3210470211 4280626948 6420940422 12841880844