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12268593046 = 231216339161
BaseRepresentation
bin10110110110100001…
…11101111110010110
31011200000112002202001
423123100331332112
5200111224434141
65345222305514
7613012214563
oct133320757626
934600462661
1012268593046
1152263345a6
12246488829a
1312069b7118
1484557786a
154bc128a31
hex2db43df96

12268593046 has 24 divisors (see below), whose sum is σ = 19132830072. Its totient is φ = 5899845600.

The previous prime is 12268593041. The next prime is 12268593049. The reversal of 12268593046 is 64039586221.

12268593046 is a nontrivial binomial coefficient, being equal to C(156644, 2).

It is a junction number, because it is equal to n+sod(n) for n = 12268592987 and 12268593005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12268593041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293706 + ... + 332866.

It is an arithmetic number, because the mean of its divisors is an integer number (797201253).

Almost surely, 212268593046 is an apocalyptic number.

12268593046 is the 156643-rd triangular number and also the 78322-nd hexagonal number.

12268593046 is the 52215-th centered nonagonal number.

12268593046 is a deficient number, since it is larger than the sum of its proper divisors (6864237026).

12268593046 is a wasteful number, since it uses less digits than its factorization.

12268593046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39388 (or 39357 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 12268593046 in words is "twelve billion, two hundred sixty-eight million, five hundred ninety-three thousand, forty-six".

Divisors: 1 2 31 62 163 326 961 1922 5053 10106 39161 78322 156643 313286 1213991 2427982 6383243 12766486 37633721 75267442 197880533 395761066 6134296523 12268593046