Search a number
-
+
13758313751 = 713155996979
BaseRepresentation
bin11001101000000111…
…10011010100010111
31022111211200202100222
430310003303110113
5211134112020001
610153120224555
7664641510620
oct146403632427
938454622328
1013758313751
115920233836
1227bb76b15b
1313b351a670
14947362a47
15557ce261b
hex3340f3517

13758313751 has 16 divisors (see below), whose sum is σ = 16944345600. Its totient is φ = 10878604128.

The previous prime is 13758313637. The next prime is 13758313783. The reversal of 13758313751 is 15731385731.

13758313751 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 13758313751 - 218 = 13758051607 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13758310751) 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 15 ways as a sum of consecutive naturals, for example, 93380 + ... + 190358.

It is an arithmetic number, because the mean of its divisors is an integer number (1059021600).

Almost surely, 213758313751 is an apocalyptic number.

13758313751 is a deficient number, since it is larger than the sum of its proper divisors (3186031849).

13758313751 is a wasteful number, since it uses less digits than its factorization.

13758313751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98558.

The product of its digits is 264600, while the sum is 44.

The spelling of 13758313751 in words is "thirteen billion, seven hundred fifty-eight million, three hundred thirteen thousand, seven hundred fifty-one".

Divisors: 1 7 13 91 1559 10913 20267 96979 141869 678853 1260727 8825089 151190261 1058331827 1965473393 13758313751