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12334265768 = 2311594675087
BaseRepresentation
bin10110111110010110…
…11111010110101000
31011211121002121210002
423133023133112220
5200230033001033
65355530042132
7614440346336
oct133713372650
934747077702
1012334265768
11525a40a480
122482879348
13121749c116
14850190b56
154c2c9c3e8
hex2df2df5a8

12334265768 has 64 divisors (see below), whose sum is σ = 25716787200. Its totient is φ = 5498576320.

The previous prime is 12334265753. The next prime is 12334265837. The reversal of 12334265768 is 86756243321.

It is a super-2 number, since 2×123342657682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2422121 + ... + 2427207.

It is an arithmetic number, because the mean of its divisors is an integer number (401824800).

Almost surely, 212334265768 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 12334265768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12858393600).

12334265768 is an abundant number, since it is smaller than the sum of its proper divisors (13382521432).

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

12334265768 is a wasteful number, since it uses less digits than its factorization.

12334265768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5630 (or 5626 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 47.

The spelling of 12334265768 in words is "twelve billion, three hundred thirty-four million, two hundred sixty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 467 472 649 934 1298 1868 2596 3736 5087 5137 5192 10174 10274 20348 20548 27553 40696 41096 55106 55957 110212 111914 220424 223828 300133 303083 447656 600266 606166 1200532 1212332 2375629 2401064 2424664 3301463 4751258 6602926 9502516 13205852 19005032 26131919 26411704 52263838 104527676 140162111 209055352 280324222 560648444 1121296888 1541783221 3083566442 6167132884 12334265768