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13248306379 = 7112956910427
BaseRepresentation
bin11000101011010100…
…10001110011001011
31021012022000200210001
430111222101303023
5204113031301004
610030341103431
7646206513640
oct142552216313
937168020701
1013248306379
115689361740
1226989b7b77
131331970559
148d9723dc7
1552814e1a4
hex315a91ccb

13248306379 has 32 divisors (see below), whose sum is σ = 17118604800. Its totient is φ = 9948906240.

The previous prime is 13248306353. The next prime is 13248306391. The reversal of 13248306379 is 97360384231.

13248306379 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 13248306379 - 27 = 13248306251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13248306349) 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 31 ways as a sum of consecutive naturals, for example, 1265364 + ... + 1275790.

It is an arithmetic number, because the mean of its divisors is an integer number (534956400).

Almost surely, 213248306379 is an apocalyptic number.

13248306379 is a deficient number, since it is larger than the sum of its proper divisors (3870298421).

13248306379 is a wasteful number, since it uses less digits than its factorization.

13248306379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11043.

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 13248306379 in words is "thirteen billion, two hundred forty-eight million, three hundred six thousand, three hundred seventy-nine".

Divisors: 1 7 11 29 77 203 319 569 2233 3983 6259 10427 16501 43813 72989 114697 115507 181511 302383 802879 1270577 2116681 3326213 5932963 23283491 41530741 65262593 172055927 456838151 1204391489 1892615197 13248306379