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10046525313 = 3116710941687
BaseRepresentation
bin10010101101101000…
…11100111110000001
3221221011022100212010
421112310130332001
5131033402302223
64340523523133
7503651025156
oct112664347601
927834270763
1010046525313
114296002190
121b446894a9
13c4152a146
146b43d422d
153dbeed393
hex256d1cf81

10046525313 has 32 divisors (see below), whose sum is σ = 14967659520. Its totient is φ = 5942756160.

The previous prime is 10046525311. The next prime is 10046525371. The reversal of 10046525313 is 31352564001.

10046525313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10046525313 - 21 = 10046525311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10046525311) 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 31 ways as a sum of consecutive naturals, for example, 220156 + ... + 261842.

It is an arithmetic number, because the mean of its divisors is an integer number (467739360).

Almost surely, 210046525313 is an apocalyptic number.

It is an amenable number.

10046525313 is a deficient number, since it is larger than the sum of its proper divisors (4921134207).

10046525313 is a wasteful number, since it uses less digits than its factorization.

10046525313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41877.

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 10046525313 in words is "ten billion, forty-six million, five hundred twenty-five thousand, three hundred thirteen".

Divisors: 1 3 11 33 67 109 201 327 737 1199 2211 3597 7303 21909 41687 80333 125061 240999 458557 1375671 2793029 4543883 8379087 13631649 30723319 49982713 92169957 149948139 304440161 913320483 3348841771 10046525313