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12152514042 = 23231193112843
BaseRepresentation
bin10110101000101100…
…01010010111111010
31011100221002200021200
423110112022113322
5144342020422132
65325514315030
7610102444044
oct132426122772
934327080250
1012152514042
115176860739
122431a28a76
1311b8933b16
14833d9ca94
154b1d49d7c
hex2d458a5fa

12152514042 has 48 divisors (see below), whose sum is σ = 27320886528. Its totient is φ = 3899819520.

The previous prime is 12152514037. The next prime is 12152514083. The reversal of 12152514042 is 24041525121.

It is a happy number.

12152514042 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 251 + 404 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12152513997 and 12152514015.

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, 51273 + ... + 164115.

It is an arithmetic number, because the mean of its divisors is an integer number (569185136).

Almost surely, 212152514042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12152514042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660443264).

12152514042 is an abundant number, since it is smaller than the sum of its proper divisors (15168372486).

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

12152514042 is a wasteful number, since it uses less digits than its factorization.

12152514042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113075 (or 113072 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 12152514042 in words is "twelve billion, one hundred fifty-two million, five hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 193 279 386 558 579 1158 1737 3474 5983 11966 17949 35898 53847 107694 112843 225686 338529 677058 1015587 2031174 3498133 6996266 10494399 20988798 21778699 31483197 43557398 62966394 65336097 130672194 196008291 392016582 675139669 1350279338 2025419007 4050838014 6076257021 12152514042