Search a number
-
+
13217076675 = 3252115340233
BaseRepresentation
bin11000100111100110…
…01001010111000011
31021010010021001200100
430103303021113003
5204032032423200
610023303453443
7645350204145
oct142363112703
937103231610
1013217076675
115672771370
12268a457283
13132835793a
148d5514c95
15525530d00
hex313cc95c3

13217076675 has 36 divisors (see below), whose sum is σ = 25825371624. Its totient is φ = 6408278400.

The previous prime is 13217076673. The next prime is 13217076701. The reversal of 13217076675 is 57667071231.

13217076675 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 13217076675 - 21 = 13217076673 is a prime.

It is a super-2 number, since 2×132170766752 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13217076675.

It is not an unprimeable number, because it can be changed into a prime (13217076673) 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 35 ways as a sum of consecutive naturals, for example, 2667642 + ... + 2672591.

It is an arithmetic number, because the mean of its divisors is an integer number (717371434).

Almost surely, 213217076675 is an apocalyptic number.

13217076675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13217076675 is a deficient number, since it is larger than the sum of its proper divisors (12608294949).

13217076675 is a wasteful number, since it uses less digits than its factorization.

13217076675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340260 (or 5340252 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 13217076675 in words is "thirteen billion, two hundred seventeen million, seventy-six thousand, six hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 2475 5340233 16020699 26701165 48062097 58742563 80103495 133505825 176227689 240310485 293712815 400517475 528683067 881138445 1201552425 1468564075 2643415335 4405692225 13217076675