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12505464114 = 23111367721529
BaseRepresentation
bin10111010010110001…
…00011110100110010
31012021112020101202120
423221120203310302
5201102344322424
65424523255110
7621616456023
oct135130436462
935245211676
1012505464114
115338010310
12251007a496
131243ab0a10
14868bd6c4a
154d2d17a79
hex2e9623d32

12505464114 has 64 divisors (see below), whose sum is σ = 29428237440. Its totient is φ = 3492702720.

The previous prime is 12505464047. The next prime is 12505464151. The reversal of 12505464114 is 41146450521.

12505464114 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 (33).

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, 570102 + ... + 591630.

It is an arithmetic number, because the mean of its divisors is an integer number (459816210).

Almost surely, 212505464114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12505464114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714118720).

12505464114 is an abundant number, since it is smaller than the sum of its proper divisors (16922773326).

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

12505464114 is a wasteful number, since it uses less digits than its factorization.

12505464114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22235.

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 12505464114 in words is "twelve billion, five hundred five million, four hundred sixty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 677 858 1354 2031 4062 7447 8801 14894 17602 21529 22341 26403 43058 44682 52806 64587 96811 129174 193622 236819 279877 290433 473638 559754 580866 710457 839631 1420914 1679262 3078647 6157294 9235941 14575133 18471882 29150266 43725399 87450798 160326463 189476729 320652926 378953458 480979389 568430187 961958778 1136860374 2084244019 4168488038 6252732057 12505464114