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10959340825 = 526110171153
BaseRepresentation
bin10100011010011101…
…00100010100011001
31001021202221012100001
422031032210110121
5134421042401300
65011252413001
7535403600656
oct121516442431
931252835301
1010959340825
114714297a74
12215a317161
13105868ca74
1475d728c2d
1544220c16a
hex28d3a4519

10959340825 has 24 divisors (see below), whose sum is σ = 13949314776. Its totient is φ = 8538240000.

The previous prime is 10959340811. The next prime is 10959340871. The reversal of 10959340825 is 52804395901.

It can be written as a sum of positive squares in 12 ways, for example, as 5939476624 + 5019864201 = 77068^2 + 70851^2 .

It is not a de Polignac number, because 10959340825 - 25 = 10959340793 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118449 + ... + 189601.

It is an arithmetic number, because the mean of its divisors is an integer number (581221449).

Almost surely, 210959340825 is an apocalyptic number.

It is an amenable number.

10959340825 is a deficient number, since it is larger than the sum of its proper divisors (2989973951).

10959340825 is a wasteful number, since it uses less digits than its factorization.

10959340825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71325 (or 71320 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 10959340825 in words is "ten billion, nine hundred fifty-nine million, three hundred forty thousand, eight hundred twenty-five".

Divisors: 1 5 25 61 101 305 505 1525 2525 6161 30805 71153 154025 355765 1778825 4340333 7186453 21701665 35932265 108508325 179661325 438373633 2191868165 10959340825