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12140735868 = 223549925031
BaseRepresentation
bin10110100111010010…
…01110110101111100
31011100002221021200000
423103221032311330
5144331012021433
65324414034300
7606600360252
oct132351166574
934302837600
1012140735868
115170146608
122429aa8990
1311b636baa1
148325b45d2
154b0cc0113
hex2d3a4ed7c

12140735868 has 72 divisors (see below), whose sum is σ = 31890768000. Its totient is φ = 4038640560.

The previous prime is 12140735857. The next prime is 12140735899. The reversal of 12140735868 is 86853704121.

12140735868 is a `hidden beast` number, since 1 + 21 + 40 + 7 + 3 + 586 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472513 + ... + 497543.

Almost surely, 212140735868 is an apocalyptic number.

12140735868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12140735868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15945384000).

12140735868 is an abundant number, since it is smaller than the sum of its proper divisors (19750032132).

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

12140735868 is a wasteful number, since it uses less digits than its factorization.

12140735868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25549 (or 25535 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12140735868 in words is "twelve billion, one hundred forty million, seven hundred thirty-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 499 972 998 1497 1996 2994 4491 5988 8982 13473 17964 25031 26946 40419 50062 53892 75093 80838 100124 121257 150186 161676 225279 242514 300372 450558 485028 675837 901116 1351674 2027511 2703348 4055022 6082533 8110044 12165066 12490469 24330132 24980938 37471407 49961876 74942814 112414221 149885628 224828442 337242663 449656884 674485326 1011727989 1348970652 2023455978 3035183967 4046911956 6070367934 12140735868