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11713766513 = 1719103335107
BaseRepresentation
bin10101110100011000…
…11110010001110001
31010020100111222211012
422322030132101301
5142442211012023
65214202400305
7563164241531
oct127214362161
933210458735
1011713766513
114a71130179
12232ab00095
131148a76ab7
147d19cd4c1
15488580978
hex2ba31e471

11713766513 has 16 divisors (see below), whose sum is σ = 13068601920. Its totient is φ = 10434064896.

The previous prime is 11713766503. The next prime is 11713766521. The reversal of 11713766513 is 31566731711.

11713766513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11713766513 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11713766503) 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, 316106 + ... + 351212.

It is an arithmetic number, because the mean of its divisors is an integer number (816787620).

Almost surely, 211713766513 is an apocalyptic number.

It is an amenable number.

11713766513 is a deficient number, since it is larger than the sum of its proper divisors (1354835407).

11713766513 is a wasteful number, since it uses less digits than its factorization.

11713766513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36176.

The product of its digits is 79380, while the sum is 41.

The spelling of 11713766513 in words is "eleven billion, seven hundred thirteen million, seven hundred sixty-six thousand, five hundred thirteen".

Divisors: 1 17 19 323 1033 17561 19627 35107 333659 596819 667033 11339561 36265531 616514027 689045089 11713766513