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11541104641 = 1124116192689
BaseRepresentation
bin10101011111110011…
…10100100000000001
31002210022121212021001
422233321310200001
5142114010322031
65145113532001
7555666525253
oct125771644001
932708555231
1011541104641
11499271a810
1222a1114001
13111c072001
147b6ac5cd3
15478326861
hex2afe74801

11541104641 has 16 divisors (see below), whose sum is σ = 12655051200. Its totient is φ = 10438041600.

The previous prime is 11541104633. The next prime is 11541104681. The reversal of 11541104641 is 14640114511.

It is a cyclic number.

It is not a de Polignac number, because 11541104641 - 23 = 11541104633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11541104681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4290625 + ... + 4293313.

It is an arithmetic number, because the mean of its divisors is an integer number (790940700).

Almost surely, 211541104641 is an apocalyptic number.

11541104641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11541104641 is a deficient number, since it is larger than the sum of its proper divisors (1113946559).

11541104641 is a wasteful number, since it uses less digits than its factorization.

11541104641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560.

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 11541104641 in words is "eleven billion, five hundred forty-one million, one hundred four thousand, six hundred forty-one".

Divisors: 1 11 241 1619 2651 2689 17809 29579 390179 648049 4291969 4353491 7128539 47888401 1049191331 11541104641