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12114588348 = 22321719795079
BaseRepresentation
bin10110100100001010…
…11111001010111100
31011021021201212000100
423102011133022330
5144302313311343
65322041401100
7606132205362
oct132205371274
934237655010
1012114588348
115157407595
122421199190
1311b0b15495
1482cd29632
154ad8579d3
hex2d215f2bc

12114588348 has 36 divisors (see below), whose sum is σ = 32424341040. Its totient is φ = 3800654976.

The previous prime is 12114588307. The next prime is 12114588361. The reversal of 12114588348 is 84388541121.

12114588348 is a `hidden beast` number, since 1 + 21 + 1 + 4 + 588 + 3 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×121145883483 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9896928 + ... + 9898151.

It is an arithmetic number, because the mean of its divisors is an integer number (900676140).

Almost surely, 212114588348 is an apocalyptic number.

12114588348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12114588348 is an abundant number, since it is smaller than the sum of its proper divisors (20309752692).

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

12114588348 is a wasteful number, since it uses less digits than its factorization.

12114588348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19795106 (or 19795101 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The spelling of 12114588348 in words is "twelve billion, one hundred fourteen million, five hundred eighty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 19795079 39590158 59385237 79180316 118770474 178155711 237540948 336516343 356311422 673032686 712622844 1009549029 1346065372 2019098058 3028647087 4038196116 6057294174 12114588348