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12668730568 = 23133112730941
BaseRepresentation
bin10111100110001110…
…10111110011001000
31012200220110012020021
423303013113303020
5201421143334233
65453034510224
7625641301354
oct136307276310
935626405207
1012668730568
11541119386a
122556895374
13126b8761a0
14882776464
154e2317e2d
hex2f31d7cc8

12668730568 has 64 divisors (see below), whose sum is σ = 26615070720. Its totient is φ = 5613753600.

The previous prime is 12668730553. The next prime is 12668730583. The reversal of 12668730568 is 86503786621.

It is an interprime number because it is at equal distance from previous prime (12668730553) and next prime (12668730583).

It is a Harshad number since it is a multiple of its sum of digits (52).

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 15 ways as a sum of consecutive naturals, for example, 393978 + ... + 424918.

It is an arithmetic number, because the mean of its divisors is an integer number (415860480).

Almost surely, 212668730568 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 12668730568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13307535360).

12668730568 is an abundant number, since it is smaller than the sum of its proper divisors (13946340152).

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

12668730568 is a wasteful number, since it uses less digits than its factorization.

12668730568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31118 (or 31114 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 12668730568 in words is "twelve billion, six hundred sixty-eight million, seven hundred thirty thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 127 248 254 403 508 806 1016 1612 1651 3224 3302 3937 6604 7874 13208 15748 30941 31496 51181 61882 102362 123764 204724 247528 402233 409448 804466 959171 1608932 1918342 3217864 3836684 3929507 7673368 7859014 12469223 15718028 24938446 31436056 49876892 51083591 99753784 102167182 121814717 204334364 243629434 408668728 487258868 974517736 1583591321 3167182642 6334365284 12668730568