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10006437145 = 531428315073
BaseRepresentation
bin10010101000110111…
…00001110100011001
3221211100212200020011
421110123201310121
5130443121442040
64332532401521
7502653212065
oct112433416431
927740780204
1010006437145
114275411371
121b331762a1
13c36132433
146acd5aaa5
153d87303ea
hex2546e1d19

10006437145 has 16 divisors (see below), whose sum is σ = 12398787072. Its totient is φ = 7744596480.

The previous prime is 10006437143. The next prime is 10006437151. The reversal of 10006437145 is 54173460001.

10006437145 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10006437145 - 21 = 10006437143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10006437143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656329 + ... + 671401.

It is an arithmetic number, because the mean of its divisors is an integer number (774924192).

Almost surely, 210006437145 is an apocalyptic number.

It is an amenable number.

10006437145 is a deficient number, since it is larger than the sum of its proper divisors (2392349927).

10006437145 is a wasteful number, since it uses less digits than its factorization.

10006437145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19392.

The product of its (nonzero) digits is 10080, while the sum is 31.

Adding to 10006437145 its reverse (54173460001), we get a palindrome (64179897146).

The spelling of 10006437145 in words is "ten billion, six million, four hundred thirty-seven thousand, one hundred forty-five".

Divisors: 1 5 31 155 4283 15073 21415 75365 132773 467263 663865 2336315 64557659 322788295 2001287429 10006437145