Search a number
-
+
13078772146 = 21121717832
BaseRepresentation
bin11000010111000111…
…00011100110110010
31020202111000110112101
430023203203212302
5203241131202041
610001443251014
7642050505016
oct141343434662
936674013471
1013078772146
115601698100
122650079a6a
1313057c223b
148c0dd2546
15518311b31
hex30b8e39b2

13078772146 has 36 divisors (see below), whose sum is σ = 22845029886. Its totient is φ = 5592058560.

The previous prime is 13078772123. The next prime is 13078772159. The reversal of 13078772146 is 64127787031.

13078772146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9616744225 + 3462027921 = 98065^2 + 58839^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13078772096 and 13078772105.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 7334371 + ... + 7336153.

Almost surely, 213078772146 is an apocalyptic number.

13078772146 is a deficient number, since it is larger than the sum of its proper divisors (9766257740).

13078772146 is an equidigital number, since it uses as much as digits as its factorization.

13078772146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 46.

The spelling of 13078772146 in words is "thirteen billion, seventy-eight million, seven hundred seventy-two thousand, one hundred forty-six".

Divisors: 1 2 11 17 22 34 121 187 242 374 1783 2057 3566 4114 19613 30311 39226 60622 215743 333421 431486 666842 3179089 3667631 6358178 7335262 34969979 54044513 69939958 108089026 384669769 594489643 769339538 1188979286 6539386073 13078772146