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676221117985 = 57149223581473
BaseRepresentation
bin10011101011100011110…
…10110110011000100001
32101122110000100000220001
421311301322312120201
542034400101233420
61234352433220001
766566250443620
oct11656172663041
92348400300801
10676221117985
11240869212696
12ab081101601
134b9c8c1015a
1424a2d1c76b7
15128cb6e2b0a
hex9d71eb6621

676221117985 has 32 divisors (see below), whose sum is σ = 937801267200. Its totient is φ = 458516256768.

The previous prime is 676221117937. The next prime is 676221117989. The reversal of 676221117985 is 589711122676.

676221117985 is a nontrivial binomial coefficient, being equal to C(1162946, 2).

It is a 3-Lehmer number, since φ(676221117985) divides (676221117985-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 676221117985 - 211 = 676221115937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (676221117989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872209 + ... + 1453681.

It is an arithmetic number, because the mean of its divisors is an integer number (29306289600).

It is a Poulet number, since it divides 2676221117984-1.

Almost surely, 2676221117985 is an apocalyptic number.

676221117985 is the 1162945-th triangular number and also the 581473-rd hexagonal number.

676221117985 is the 387649-th centered nonagonal number.

It is an amenable number.

676221117985 is a deficient number, since it is larger than the sum of its proper divisors (261580149215).

676221117985 is a wasteful number, since it uses less digits than its factorization.

676221117985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581857.

The product of its digits is 2540160, while the sum is 55.

The spelling of 676221117985 in words is "six hundred seventy-six billion, two hundred twenty-one million, one hundred seventeen thousand, nine hundred eighty-five".

Divisors: 1 5 7 35 149 223 745 1043 1115 1561 5215 7805 33227 166135 232589 581473 1162945 2907365 4070311 20351555 86639477 129668479 433197385 606476339 648342395 907679353 3032381695 4538396765 19320603371 96603016855 135244223597 676221117985