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12740083917 = 3111722709597
BaseRepresentation
bin10111101110101111…
…00100000011001101
31012212212201022121220
423313113210003031
5202042430141132
65504104113553
7630465632541
oct136727440315
935785638556
1012740083917
115448499680
1225767658b9
1312805999c2
1488c02ba21
154e870ea2c
hex2f75e40cd

12740083917 has 16 divisors (see below), whose sum is σ = 19621092672. Its totient is φ = 7267070720.

The previous prime is 12740083901. The next prime is 12740083957. The reversal of 12740083917 is 71938004721.

It is a cyclic number.

It is not a de Polignac number, because 12740083917 - 24 = 12740083901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12740083957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11354238 + ... + 11355359.

It is an arithmetic number, because the mean of its divisors is an integer number (1226318292).

Almost surely, 212740083917 is an apocalyptic number.

12740083917 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12740083917 is a deficient number, since it is larger than the sum of its proper divisors (6881008755).

12740083917 is a wasteful number, since it uses less digits than its factorization.

12740083917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22709628.

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 12740083917 in words is "twelve billion, seven hundred forty million, eighty-three thousand, nine hundred seventeen".

Divisors: 1 3 11 17 33 51 187 561 22709597 68128791 249805567 386063149 749416701 1158189447 4246694639 12740083917