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11374047311 = 1121912314019
BaseRepresentation
bin10101001011111001…
…00011000001001111
31002100200021110200112
422211330203001033
5141243224003221
65120345150235
7551600543534
oct124574430117
932320243615
1011374047311
114907398100
12225518b37b
1310c3580213
1479c83ad8b
1546882815b
hex2a5f2304f

11374047311 has 24 divisors (see below), whose sum is σ = 13174022400. Its totient is φ = 9785437200.

The previous prime is 11374047301. The next prime is 11374047361.

11374047311 is nontrivially palindromic in base 10.

11374047311 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 11374047311 - 26 = 11374047247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11374047301) 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 23 ways as a sum of consecutive naturals, for example, 2828060 + ... + 2832078.

It is an arithmetic number, because the mean of its divisors is an integer number (548917600).

Almost surely, 211374047311 is an apocalyptic number.

11374047311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11374047311 is a deficient number, since it is larger than the sum of its proper divisors (1799975089).

11374047311 is a wasteful number, since it uses less digits than its factorization.

11374047311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5291 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

It can be divided in two parts, 113740 and 47311, that added together give a 5-th power (161051 = 115).

The spelling of 11374047311 in words is "eleven billion, three hundred seventy-four million, forty-seven thousand, three hundred eleven".

Divisors: 1 11 19 121 209 1231 2299 4019 13541 23389 44209 76361 148951 257279 486299 839971 2830069 4947389 9239681 54421279 94000391 598634069 1034004301 11374047311