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13968821000 = 235313968821
BaseRepresentation
bin11010000001001101…
…10100101100001000
31100001111210122000202
431000212310230020
5212102004233000
610230040151332
71003106006441
oct150046645410
940044718022
1013968821000
115a19042a72
12285a168548
131418013374
149672bc2c8
1556b524dd5
hex3409b4b08

13968821000 has 32 divisors (see below), whose sum is σ = 32687043480. Its totient is φ = 5587528000.

The previous prime is 13968820981. The next prime is 13968821039. The reversal of 13968821000 is 12886931.

It can be written as a sum of positive squares in 4 ways, for example, as 1201176964 + 12767644036 = 34658^2 + 112994^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6983411 + ... + 6985410.

Almost surely, 213968821000 is an apocalyptic number.

13968821000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13968821000 is an abundant number, since it is smaller than the sum of its proper divisors (18718222480).

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

13968821000 is a wasteful number, since it uses less digits than its factorization.

13968821000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13968842 (or 13968828 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 13968821000 in words is "thirteen billion, nine hundred sixty-eight million, eight hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 13968821 27937642 55875284 69844105 111750568 139688210 279376420 349220525 558752840 698441050 1396882100 1746102625 2793764200 3492205250 6984410500 13968821000