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12319668036 = 223213214232
BaseRepresentation
bin10110111100100111…
…10011011101000100
31011210120121222110100
423132103303131010
5200212313334121
65354245124100
7614202310344
oct133623633504
934716558410
1012319668036
115252149a35
1224799b9630
13121445a900
1484c270d24
154c1867026
hex2de4f3744

12319668036 has 81 divisors (see below), whose sum is σ = 33744856509. Its totient is φ = 3788003232.

The previous prime is 12319668013. The next prime is 12319668073. The reversal of 12319668036 is 63086691321.

The square root of 12319668036 is 110994.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1822436100 + 10497231936 = 42690^2 + 102456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12319667982 and 12319668000.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 8656821 + ... + 8658243.

Almost surely, 212319668036 is an apocalyptic number.

12319668036 is the 110994-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12319668036

12319668036 is an abundant number, since it is smaller than the sum of its proper divisors (21425188473).

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

12319668036 is a wasteful number, since it uses less digits than its factorization.

12319668036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12319668036 in words is "twelve billion, three hundred nineteen million, six hundred sixty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1423 1521 2028 2846 3042 4269 5692 6084 8538 12807 17076 18499 25614 36998 51228 55497 73996 110994 166491 221988 240487 332982 480974 665964 721461 961948 1442922 2024929 2164383 2885844 4049858 4328766 6074787 8099716 8657532 12149574 18224361 24299148 26324077 36448722 52648154 72897444 78972231 105296308 157944462 236916693 315888924 342213001 473833386 684426002 947666772 1026639003 1368852004 2053278006 3079917009 4106556012 6159834018 12319668036