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12308615844 = 2237316617151
BaseRepresentation
bin10110111011010011…
…01001001010100100
31011202210211110200220
423131221221022210
5200202001201334
65353212204340
7614006336250
oct133551511244
934683743626
1012308615844
115246990298
1224761696b0
13121208b155
1484a9d5260
154c08d2449
hex2dda692a4

12308615844 has 96 divisors (see below), whose sum is σ = 33937784832. Its totient is φ = 3397680000.

The previous prime is 12308615833. The next prime is 12308615857. The reversal of 12308615844 is 44851680321.

It is a happy number.

12308615844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12308615796 and 12308615805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1717669 + ... + 1724819.

It is an arithmetic number, because the mean of its divisors is an integer number (353518592).

Almost surely, 212308615844 is an apocalyptic number.

12308615844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12308615844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968892416).

12308615844 is an abundant number, since it is smaller than the sum of its proper divisors (21629168988).

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

12308615844 is a wasteful number, since it uses less digits than its factorization.

12308615844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7857 (or 7855 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 12308615844 in words is "twelve billion, three hundred eight million, six hundred fifteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 661 868 1302 1322 1983 2604 2644 3966 4627 7151 7932 9254 13881 14302 18508 20491 21453 27762 28604 40982 42906 50057 55524 61473 81964 85812 100114 122946 143437 150171 200228 221681 245892 286874 300342 430311 443362 573748 600684 665043 860622 886724 1330086 1551767 1721244 2660172 3103534 4655301 4726811 6207068 9310602 9453622 14180433 18621204 18907244 28360866 33087677 56721732 66175354 99263031 132350708 146531141 198526062 293062282 397052124 439593423 586124564 879186846 1025717987 1758373692 2051435974 3077153961 4102871948 6154307922 12308615844