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10887879025 = 524125092
BaseRepresentation
bin10100010001111011…
…11101100101110001
31001002210110120011201
422020331331211301
5134244244112100
65000221011201
7533545305352
oct121075754561
931083416151
1010887879025
114687a18731
12213a3b3b01
13104692ba8a
14754045d29
1543ace336a
hex288f7d971

10887879025 has 27 divisors (see below), whose sum is σ = 13865534083. Its totient is φ = 8481161600.

The previous prime is 10887879001. The next prime is 10887879043. The reversal of 10887879025 is 52097878801.

The square root of 10887879025 is 104345.

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

It can be written as a sum of positive squares in 13 ways, for example, as 9094864689 + 1793014336 = 95367^2 + 42344^2 .

It is not a de Polignac number, because 10887879025 - 211 = 10887876977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21390471 + ... + 21390979.

Almost surely, 210887879025 is an apocalyptic number.

10887879025 is the 104345-th square number.

10887879025 is the 52173-rd centered octagonal number.

It is an amenable number.

10887879025 is a deficient number, since it is larger than the sum of its proper divisors (2977655058).

10887879025 is an frugal number, since it uses more digits than its factorization.

10887879025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 55.

The spelling of 10887879025 in words is "ten billion, eight hundred eighty-seven million, eight hundred seventy-nine thousand, twenty-five".

Divisors: 1 5 25 41 205 509 1025 1681 2545 8405 12725 20869 42025 104345 259081 521725 855629 1295405 4278145 6477025 10622321 21390725 53111605 265558025 435515161 2177575805 10887879025