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12318668244 = 22368774817
BaseRepresentation
bin10110111100011111…
…11111010111010100
31011210111202012000000
423132033333113110
5200212034340434
65354211451300
7614160644451
oct133617772724
934714665000
1012318668244
115251626863
1224795b6b30
13121419a80c
1484c090828
154c171ab99
hex2de3ff5d4

12318668244 has 84 divisors (see below), whose sum is σ = 32365290804. Its totient is φ = 4100689152.

The previous prime is 12318668213. The next prime is 12318668249. The reversal of 12318668244 is 44286681321.

It can be written as a sum of positive squares in 2 ways, for example, as 5537145744 + 6781522500 = 74412^2 + 82350^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12318668244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12318668249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2554924 + ... + 2559740.

It is an arithmetic number, because the mean of its divisors is an integer number (385301081).

Almost surely, 212318668244 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 12318668244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16182645402).

12318668244 is an abundant number, since it is smaller than the sum of its proper divisors (20046622560).

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

12318668244 is an equidigital number, since it uses as much as digits as its factorization.

12318668244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716 (or 5699 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 12318668244 in words is "twelve billion, three hundred eighteen million, six hundred sixty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 877 972 1458 1754 2631 2916 3508 4817 5262 7893 9634 10524 14451 15786 19268 23679 28902 31572 43353 47358 57804 71037 86706 94716 130059 142074 173412 213111 260118 284148 390177 426222 520236 639333 780354 852444 1170531 1278666 1560708 2341062 2557332 3511593 4224509 4682124 7023186 8449018 12673527 14046372 16898036 25347054 38020581 50694108 76041162 114061743 152082324 228123486 342185229 456246972 684370458 1026555687 1368740916 2053111374 3079667061 4106222748 6159334122 12318668244