Search a number
-
+
12742643331 = 331142904523
BaseRepresentation
bin10111101111000010…
…10100111010000011
31012220001112100111000
423313201110322003
5202044104041311
65504235023043
7630526452435
oct136741247203
935801470430
1012742643331
1154499875a0
12257759aa83
131280c84952
1488c4d6655
154e8a68056
hex2f7854e83

12742643331 has 16 divisors (see below), whose sum is σ = 20594171520. Its totient is φ = 7722813960.

The previous prime is 12742643323. The next prime is 12742643351. The reversal of 12742643331 is 13334624721.

12742643331 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 2 + 643 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 12742643331 - 23 = 12742643323 is a prime.

It is a super-2 number, since 2×127426433312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12742643351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21451965 + ... + 21452558.

It is an arithmetic number, because the mean of its divisors is an integer number (1287135720).

Almost surely, 212742643331 is an apocalyptic number.

12742643331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12742643331 is a deficient number, since it is larger than the sum of its proper divisors (7851528189).

12742643331 is a wasteful number, since it uses less digits than its factorization.

12742643331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42904543 (or 42904537 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The spelling of 12742643331 in words is "twelve billion, seven hundred forty-two million, six hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 42904523 128713569 386140707 471949753 1158422121 1415849259 4247547777 12742643331