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11164560160 = 255135367577
BaseRepresentation
bin10100110010111010…
…11010101100100000
31001211002002102100011
422121131122230200
5140331111411120
65043503134304
7543445124035
oct123135325440
931732072304
1011164560160
11480a115326
1221b6ba4394
13108c053920
1477caa938c
15455247c5a
hex29975ab20

11164560160 has 48 divisors (see below), whose sum is σ = 28405222776. Its totient is φ = 4122298368.

The previous prime is 11164560133. The next prime is 11164560167. The reversal of 11164560160 is 6106546111.

It can be written as a sum of positive squares in 4 ways, for example, as 10235773584 + 928786576 = 101172^2 + 30476^2 .

It is not an unprimeable number, because it can be changed into a prime (11164560167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2681709 + ... + 2685868.

Almost surely, 211164560160 is an apocalyptic number.

11164560160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11164560160 is an abundant number, since it is smaller than the sum of its proper divisors (17240662616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11164560160 is a wasteful number, since it uses less digits than its factorization.

11164560160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367605 (or 5367597 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 11164560160 in words is "eleven billion, one hundred sixty-four million, five hundred sixty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 5367577 10735154 21470308 26837885 42940616 53675770 69778501 85881232 107351540 139557002 171762464 214703080 279114004 348892505 429406160 558228008 697785010 858812320 1116456016 1395570020 2232912032 2791140040 5582280080 11164560160