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10045712047 = 723374141131
BaseRepresentation
bin10010101101100010…
…10110011010101111
3221221002210001021011
421112301112122233
5131033200241142
64340454250051
7503641100140
oct112661263257
927832701234
1010045712047
1142955a7168
121b44356927
13c41303c17
146b4261ac7
153dbddc417
hex256c566af

10045712047 has 32 divisors (see below), whose sum is σ = 12604161024. Its totient is φ = 7817990400.

The previous prime is 10045712021. The next prime is 10045712059. The reversal of 10045712047 is 74021754001.

10045712047 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10045712047 - 27 = 10045711919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10045712087) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 223672 + ... + 264802.

It is an arithmetic number, because the mean of its divisors is an integer number (393880032).

Almost surely, 210045712047 is an apocalyptic number.

10045712047 is a deficient number, since it is larger than the sum of its proper divisors (2558448977).

10045712047 is a wasteful number, since it uses less digits than its factorization.

10045712047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41239.

The product of its (nonzero) digits is 7840, while the sum is 31.

The spelling of 10045712047 in words is "ten billion, forty-five million, seven hundred twelve thousand, forty-seven".

Divisors: 1 7 23 37 41 161 259 287 851 943 1517 5957 6601 10619 34891 41131 244237 287917 946013 1521847 1686371 6622091 10652929 11804597 35002481 38786533 62395727 245017367 271505731 436770089 1435101721 10045712047