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10067077045 = 573791093203
BaseRepresentation
bin10010110000000101…
…10110011110110101
3221222120222111112101
421120002312132311
5131104132431140
64342540222101
7504320512564
oct113002663665
927876874471
1010067077045
1142a6669a93
121b4b53a931
13c4587472c
146b7023bdb
153ddc0c99a
hex2580b67b5

10067077045 has 32 divisors (see below), whose sum is σ = 12518668800. Its totient is φ = 7768410624.

The previous prime is 10067077019. The next prime is 10067077049. The reversal of 10067077045 is 54077076001.

10067077045 is digitally balanced in base 2, 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 10067077045 - 215 = 10067044277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10067076995 and 10067077013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10067077049) 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, 3141414 + ... + 3144616.

It is an arithmetic number, because the mean of its divisors is an integer number (391208400).

Almost surely, 210067077045 is an apocalyptic number.

It is an amenable number.

10067077045 is a deficient number, since it is larger than the sum of its proper divisors (2451591755).

10067077045 is a wasteful number, since it uses less digits than its factorization.

10067077045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469.

The product of its (nonzero) digits is 41160, while the sum is 37.

The spelling of 10067077045 in words is "ten billion, sixty-seven million, seventy-seven thousand, forty-five".

Divisors: 1 5 73 79 109 365 395 545 3203 5767 7957 8611 16015 28835 39785 43055 233819 253037 349127 628603 1169095 1265185 1745635 3143015 18471701 25486271 27581033 92358505 127431355 137905165 2013415409 10067077045