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11479993959 = 372378092609
BaseRepresentation
bin10101011000100001…
…01100111001100111
31002122001122010011110
422230100230321213
5142002334301314
65135052040103
7554325224100
oct125420547147
932561563143
1011479993959
114961180415
122284763033
13110c4c6645
147ac9393a7
15472ca4a59
hex2ac42ce67

11479993959 has 48 divisors (see below), whose sum is σ = 18316562400. Its totient is φ = 6372366336.

The previous prime is 11479993949. The next prime is 11479993963. The reversal of 11479993959 is 95939997411.

11479993959 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11479993959 - 27 = 11479993831 is a prime.

It is a super-2 number, since 2×114799939592 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11479993959.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11479993949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4398847 + ... + 4401455.

It is an arithmetic number, because the mean of its divisors is an integer number (381595050).

Almost surely, 211479993959 is an apocalyptic number.

11479993959 is a deficient number, since it is larger than the sum of its proper divisors (6836568441).

11479993959 is a wasteful number, since it uses less digits than its factorization.

11479993959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3465 counting only the distinct ones).

The product of its digits is 24800580, while the sum is 66.

The spelling of 11479993959 in words is "eleven billion, four hundred seventy-nine million, nine hundred ninety-three thousand, nine hundred fifty-nine".

Divisors: 1 3 7 21 37 49 111 147 259 777 809 1813 2427 2609 5439 5663 7827 16989 18263 29933 39641 54789 89799 96533 118923 127841 209531 289599 383523 628593 675731 1466717 2027193 2110681 4400151 4730117 6332043 14190351 14774767 44324301 78095197 103423369 234285591 310270107 546666379 1639999137 3826664653 11479993959