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10000807505 = 513153858577
BaseRepresentation
bin10010101000001100…
…00011011001010001
3221210222021122210222
421110012003121101
5130440201320010
64332212002425
7502554314123
oct112406033121
927728248728
1010000807505
114272216777
121b31300415
13c34c10ba0
146ac2d3213
153d7ebc355
hex254183651

10000807505 has 8 divisors (see below), whose sum is σ = 12924120552. Its totient is φ = 7385211648.

The previous prime is 10000807501. The next prime is 10000807511. The reversal of 10000807505 is 50570800001.

It can be written as a sum of positive squares in 4 ways, for example, as 103144336 + 9897663169 = 10156^2 + 99487^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10000807505 - 22 = 10000807501 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000807501) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 76929224 + ... + 76929353.

It is an arithmetic number, because the mean of its divisors is an integer number (1615515069).

Almost surely, 210000807505 is an apocalyptic number.

It is an amenable number.

10000807505 is a deficient number, since it is larger than the sum of its proper divisors (2923313047).

10000807505 is a wasteful number, since it uses less digits than its factorization.

10000807505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153858595.

The product of its (nonzero) digits is 1400, while the sum is 26.

The spelling of 10000807505 in words is "ten billion, eight hundred seven thousand, five hundred five".

Divisors: 1 5 13 65 153858577 769292885 2000161501 10000807505