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11159106959 = 7111320175527
BaseRepresentation
bin10100110010010001…
…00111010110001111
31001210200211100221202
422121020213112033
5140323212410314
65043150220115
7543350562350
oct123110472617
931720740852
1011159106959
114807030250
1221b51b463b
13108ab94790
1477c089d27
15454a1c0de
hex29922758f

11159106959 has 32 divisors (see below), whose sum is σ = 14992997376. Its totient is φ = 8021099520.

The previous prime is 11159106947. The next prime is 11159106989. The reversal of 11159106959 is 95960195111.

11159106959 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 11159106959 - 212 = 11159102863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11159106989) 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, 2016254 + ... + 2021780.

It is an arithmetic number, because the mean of its divisors is an integer number (468531168).

Almost surely, 211159106959 is an apocalyptic number.

11159106959 is a deficient number, since it is larger than the sum of its proper divisors (3833890417).

11159106959 is a wasteful number, since it uses less digits than its factorization.

11159106959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7575.

The product of its (nonzero) digits is 109350, while the sum is 47.

The spelling of 11159106959 in words is "eleven billion, one hundred fifty-nine million, one hundred six thousand, nine hundred fifty-nine".

Divisors: 1 7 11 13 77 91 143 1001 2017 5527 14119 22187 26221 38689 60797 71851 155309 183547 288431 425579 502957 790361 2019017 5532527 11147959 78035713 122627549 144923467 858392843 1014464269 1594158137 11159106959