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12308361696 = 253314245789
BaseRepresentation
bin10110111011010001…
…01011000111100000
31011202210100120002000
423131220223013200
5200201420033241
65353202524000
7614004230301
oct133550530740
934683316060
1012308361696
115246827354
122476066600
131211ccc577
1484a96a7a8
154c0881eb6
hex2dda2b1e0

12308361696 has 48 divisors (see below), whose sum is σ = 35899390800. Its totient is φ = 4102786944.

The previous prime is 12308361683. The next prime is 12308361733. The reversal of 12308361696 is 69616380321.

12308361696 is a `hidden beast` number, since 1 + 23 + 0 + 8 + 3 + 616 + 9 + 6 = 666.

12308361696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7122031 + ... + 7123758.

It is an arithmetic number, because the mean of its divisors is an integer number (747903975).

Almost surely, 212308361696 is an apocalyptic number.

12308361696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12308361696 is an abundant number, since it is smaller than the sum of its proper divisors (23591029104).

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

12308361696 is a wasteful number, since it uses less digits than its factorization.

12308361696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14245808 (or 14245794 counting only the distinct ones).

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

The spelling of 12308361696 in words is "twelve billion, three hundred eight million, three hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14245789 28491578 42737367 56983156 85474734 113966312 128212101 170949468 227932624 256424202 341898936 384636303 455865248 512848404 683797872 769272606 1025696808 1367595744 1538545212 2051393616 3077090424 4102787232 6154180848 12308361696