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11557325025 = 345223892
BaseRepresentation
bin10101100001101111…
…01100100011100001
31002211110010221110000
422300313230203201
5142132133400100
65150453330213
7556254433101
oct126067544341
932743127400
1011557325025
1149a0899394
1222a6636969
131122530c7c
147b8d09201
1547997c900
hex2b0dec8e1

11557325025 has 45 divisors (see below), whose sum is σ = 21417125961. Its totient is φ = 6161326560.

The previous prime is 11557325023. The next prime is 11557325027. The reversal of 11557325025 is 52052375511.

The square root of 11557325025 is 107505.

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

11557325025 is a `hidden beast` number, since 1 + 1 + 557 + 32 + 50 + 25 = 666.

11557325025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11557325023) and next prime (11557325027).

It can be written as a sum of positive squares in 4 ways, for example, as 2011253409 + 9546071616 = 44847^2 + 97704^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 11557325025 - 21 = 11557325023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11557325023) 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 44 ways as a sum of consecutive naturals, for example, 4836531 + ... + 4838919.

Almost surely, 211557325025 is an apocalyptic number.

11557325025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11557325025 is the 107505-th square number.

11557325025 is the 53753-rd centered octagonal number.

It is an amenable number.

11557325025 is a deficient number, since it is larger than the sum of its proper divisors (9859800936).

11557325025 is an frugal number, since it uses more digits than its factorization.

11557325025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

Multiplying 11557325025 by its sum of digits (36), we get a square (416063700900 = 6450302).

The spelling of 11557325025 in words is "eleven billion, five hundred fifty-seven million, three hundred twenty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 2389 7167 11945 21501 35835 59725 64503 107505 179175 193509 322515 537525 967545 1612575 4837725 5707321 17121963 28536605 51365889 85609815 142683025 154097667 256829445 428049075 462293001 770488335 1284147225 2311465005 3852441675 11557325025