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11540130625 = 5442972
BaseRepresentation
bin10101011111101100…
…00110101101000001
31002210020210101011101
422233312012231001
5142113233140000
65145041014401
7555655330462
oct125766065501
932706711141
1011540130625
114992114a41
1222a0924401
13111bac087a
147b6910d69
154781d2e6a
hex2afd86b41

11540130625 has 15 divisors (see below), whose sum is σ = 14423903967. Its totient is φ = 9229956000.

The previous prime is 11540130601. The next prime is 11540130629. The reversal of 11540130625 is 52603104511.

The square root of 11540130625 is 107425.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 8516890369 + 3023240256 = 92287^2 + 54984^2 .

It is not a de Polignac number, because 11540130625 - 211 = 11540128577 is a prime.

It is a super-2 number, since 2×115401306252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11540130593 and 11540130602.

It is not an unprimeable number, because it can be changed into a prime (11540130629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2683477 + ... + 2687773.

Almost surely, 211540130625 is an apocalyptic number.

11540130625 is the 107425-th square number.

11540130625 is the 53713-rd centered octagonal number.

It is an amenable number.

11540130625 is a deficient number, since it is larger than the sum of its proper divisors (2883773342).

11540130625 is an frugal number, since it uses more digits than its factorization.

11540130625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8614 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Multiplying 11540130625 by its product of nonzero digits (3600), we get a square (41544470250000 = 64455002).

The spelling of 11540130625 in words is "eleven billion, five hundred forty million, one hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 4297 21485 107425 537125 2685625 18464209 92321045 461605225 2308026125 11540130625