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667144390359 = 34147290939671
BaseRepresentation
bin10011011010101001110…
…01111000011011010111
32100210000102212111100210
421231110321320123113
541412302430442414
61230252031340503
766125313516066
oct11552471703327
92323012774323
10667144390359
11237a306858a7
12a9369381733
134abb05a70c5
142440b91c1dd
151254990be59
hex9b54e786d7

667144390359 has 32 divisors (see below), whose sum is σ = 930952673280. Its totient is φ = 424526124800.

The previous prime is 667144390337. The next prime is 667144390439. The reversal of 667144390359 is 953093441766.

It is a cyclic number.

It is not a de Polignac number, because 667144390359 - 25 = 667144390327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 667144390299 and 667144390308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667144392359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16797094 + ... + 16836764.

It is an arithmetic number, because the mean of its divisors is an integer number (29092271040).

Almost surely, 2667144390359 is an apocalyptic number.

667144390359 is a deficient number, since it is larger than the sum of its proper divisors (263808282921).

667144390359 is a wasteful number, since it uses less digits than its factorization.

667144390359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42671.

The product of its (nonzero) digits is 14696640, while the sum is 57.

The spelling of 667144390359 in words is "six hundred sixty-seven billion, one hundred forty-four million, three hundred ninety thousand, three hundred fifty-nine".

Divisors: 1 3 41 47 123 141 1927 2909 5781 8727 39671 119013 119269 136723 357807 410169 1626511 1864537 4879533 5593611 5605643 16816929 76446017 115402939 229338051 346208817 4731520499 5423938133 14194561497 16271814399 222381463453 667144390359