Search a number
-
+
12742463952 = 2432701126233
BaseRepresentation
bin10111101111000001…
…01001000111010000
31012220001012020102100
423313200221013100
5202044032321302
65504231120400
7630525104451
oct136740510720
935801166370
1012742463952
115449874849
122577513100
131280c210ca
1488c48b128
154e8a2ed1c
hex2f78291d0

12742463952 has 60 divisors (see below), whose sum is σ = 35712356004. Its totient is φ = 4241395200.

The previous prime is 12742463873. The next prime is 12742463977. The reversal of 12742463952 is 25936424721.

12742463952 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 2 + 4 + 639 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8444874816 + 4297589136 = 91896^2 + 65556^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12742463898 and 12742463907.

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, 37828 + ... + 164060.

Almost surely, 212742463952 is an apocalyptic number.

12742463952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12742463952 is an abundant number, since it is smaller than the sum of its proper divisors (22969892052).

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

12742463952 is a wasteful number, since it uses less digits than its factorization.

12742463952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126948 (or 126939 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 12742463952 in words is "twelve billion, seven hundred forty-two million, four hundred sixty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 701 1402 2103 2804 4206 5608 6309 8412 11216 12618 16824 25236 33648 50472 100944 126233 252466 378699 504932 757398 1009864 1136097 1514796 2019728 2272194 3029592 4544388 6059184 9088776 18177552 88489333 176978666 265467999 353957332 530935998 707914664 796403997 1061871996 1415829328 1592807994 2123743992 3185615988 4247487984 6371231976 12742463952