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10067077007 = 13271838993
BaseRepresentation
bin10010110000000101…
…10110011110001111
3221222120222111110222
421120002312132033
5131104132431012
64342540221555
7504320512511
oct113002663617
927876874428
1010067077007
1142a6669a59
121b4b53a8bb
13c45874700
146b7023bb1
153ddc0c972
hex2580b678f

10067077007 has 12 divisors (see below), whose sum is σ = 11054584944. Its totient is φ = 9161792640.

The previous prime is 10067076973. The next prime is 10067077019. The reversal of 10067077007 is 70077076001.

10067077007 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 10067077007 - 210 = 10067075983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10067077807) 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 11 ways as a sum of consecutive naturals, for example, 407498 + ... + 431495.

It is an arithmetic number, because the mean of its divisors is an integer number (921215412).

Almost surely, 210067077007 is an apocalyptic number.

10067077007 is a deficient number, since it is larger than the sum of its proper divisors (987507937).

10067077007 is an equidigital number, since it uses as much as digits as its factorization.

10067077007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839090 (or 839077 counting only the distinct ones).

The product of its (nonzero) digits is 14406, while the sum is 35.

The spelling of 10067077007 in words is "ten billion, sixty-seven million, seventy-seven thousand, seven".

Divisors: 1 13 71 169 923 11999 838993 10906909 59568503 141789817 774390539 10067077007