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13120364466 = 23211243727191
BaseRepresentation
bin11000011100000100…
…01101111110110010
31020212101021120110200
430032002031332302
5203332303130331
610005530540030
7643064154306
oct141602157662
936771246420
1013120364466
115623116020
122661b97616
1313112c5791
148c673bd06
1551bcca5e6
hex30e08dfb2

13120364466 has 48 divisors (see below), whose sum is σ = 31025636928. Its totient is φ = 3974090400.

The previous prime is 13120364419. The next prime is 13120364471. The reversal of 13120364466 is 66446302131.

13120364466 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 0 + 3 + 644 + 6 + 6 = 666.

13120364466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13120364466.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 468931 + ... + 496121.

It is an arithmetic number, because the mean of its divisors is an integer number (646367436).

Almost surely, 213120364466 is an apocalyptic number.

13120364466 is an abundant number, since it is smaller than the sum of its proper divisors (17905272462).

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

13120364466 is a wasteful number, since it uses less digits than its factorization.

13120364466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29647 (or 29644 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 13120364466 its reverse (66446302131), we get a palindrome (79566666597).

The spelling of 13120364466 in words is "thirteen billion, one hundred twenty million, three hundred sixty-four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2437 4874 7311 14622 21933 26807 27191 43866 53614 54382 80421 81573 160842 163146 241263 244719 299101 482526 489438 598202 897303 1794606 2691909 5383818 66264467 132528934 198793401 397586802 596380203 728909137 1192760406 1457818274 2186727411 4373454822 6560182233 13120364466