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2968638944985 = 335726736718251
BaseRepresentation
bin101011001100110000101…
…010110111011011011001
3101111210120112220121121000
4223030300222313123121
5342114233032214420
610151435055135213
7424322432454600
oct53146052673331
911453515817530
102968638944985
11a44aa132399a
123bb413214509
13186c314a390c
14a397bbd6a37
155234b3b9690
hex2b330ab76d9

2968638944985 has 192 divisors, whose sum is σ = 6248176496640. Its totient is φ = 1333121328000.

The previous prime is 2968638944983. The next prime is 2968638944987. The reversal of 2968638944985 is 5894498368692.

2968638944985 is a `hidden beast` number, since 2 + 9 + 6 + 8 + 6 + 38 + 94 + 498 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2968638944983) and next prime (2968638944987).

It is not a de Polignac number, because 2968638944985 - 21 = 2968638944983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2968638944983) 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 191 ways as a sum of consecutive naturals, for example, 162647110 + ... + 162665360.

It is an arithmetic number, because the mean of its divisors is an integer number (32542585920).

Almost surely, 22968638944985 is an apocalyptic number.

It is an amenable number.

2968638944985 is an abundant number, since it is smaller than the sum of its proper divisors (3279537551655).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2968638944985 is a wasteful number, since it uses less digits than its factorization.

2968638944985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18713 (or 18700 counting only the distinct ones).

The product of its digits is 6449725440, while the sum is 81.

The spelling of 2968638944985 in words is "two trillion, nine hundred sixty-eight billion, six hundred thirty-eight million, nine hundred forty-four thousand, nine hundred eighty-five".