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10963137025 = 524324872
BaseRepresentation
bin10100011010111010…
…00011001000000001
31001022001002001202001
422031131003020001
5134423030341100
65011510024001
7535451061421
oct121535031001
931261061661
1010963137025
114716450125
12215b648001
1310593bb939
14760036481
1544270bd6a
hex28d743201

10963137025 has 27 divisors (see below), whose sum is σ = 13946425731. Its totient is φ = 8548953840.

The previous prime is 10963137019. The next prime is 10963137043. The reversal of 10963137025 is 52073136901.

The square root of 10963137025 is 104705.

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

It can be written as a sum of positive squares in only one way, i.e., 3946729329 + 7016407696 = 62823^2 + 83764^2 .

It is not a de Polignac number, because 10963137025 - 213 = 10963128833 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 (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22511332 + ... + 22511818.

Almost surely, 210963137025 is an apocalyptic number.

10963137025 is the 104705-th square number.

10963137025 is the 52353-rd centered octagonal number.

It is an amenable number.

10963137025 is a deficient number, since it is larger than the sum of its proper divisors (2983288706).

10963137025 is an frugal number, since it uses more digits than its factorization.

10963137025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The spelling of 10963137025 in words is "ten billion, nine hundred sixty-three million, one hundred thirty-seven thousand, twenty-five".

Divisors: 1 5 25 43 215 487 1075 1849 2435 9245 12175 20941 46225 104705 237169 523525 900463 1185845 4502315 5929225 10198267 22511575 50991335 254956675 438525481 2192627405 10963137025