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10407047687 is a prime number
BaseRepresentation
bin10011011000100111…
…01111001000000111
3222212021200210120122
421230103233020013
5132303201011222
64440403052155
7515616305621
oct115423571007
928767623518
1010407047687
114460563a63
12202537105b
13c9b1288aa
1470a23dc11
1540d9b4a42
hex26c4ef207

10407047687 has 2 divisors, whose sum is σ = 10407047688. Its totient is φ = 10407047686.

The previous prime is 10407047663. The next prime is 10407047689. The reversal of 10407047687 is 78674070401.

It is a happy number.

10407047687 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10407047687 is a prime.

Together with 10407047689, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10407047689) 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 as a sum of consecutive naturals, namely, 5203523843 + 5203523844.

It is an arithmetic number, because the mean of its divisors is an integer number (5203523844).

Almost surely, 210407047687 is an apocalyptic number.

10407047687 is a deficient number, since it is larger than the sum of its proper divisors (1).

10407047687 is an equidigital number, since it uses as much as digits as its factorization.

10407047687 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 263424, while the sum is 44.

The spelling of 10407047687 in words is "ten billion, four hundred seven million, forty-seven thousand, six hundred eighty-seven".