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1681253919 = 32271689321
BaseRepresentation
bin110010000110101…
…1110011000011111
311100011120112210200
41210031132120133
511420400111134
6434455034543
756443264632
oct14415363037
94304515720
101681253919
11793029a54
123ab06ba53
1320a414b07
1411d405c19
159c8ee499
hex6435e61f

1681253919 has 12 divisors (see below), whose sum is σ = 2437442592. Its totient is φ = 1116698400.

The previous prime is 1681253909. The next prime is 1681253921. The reversal of 1681253919 is 9193521861.

It is a de Polignac number, because none of the positive numbers 2k-1681253919 is a prime.

It is a super-2 number, since 2×16812539192 = 5653229480305717122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681253909) 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 11 ways as a sum of consecutive naturals, for example, 342222 + ... + 347099.

It is an arithmetic number, because the mean of its divisors is an integer number (203120216).

Almost surely, 21681253919 is an apocalyptic number.

1681253919 is a deficient number, since it is larger than the sum of its proper divisors (756188673).

1681253919 is a wasteful number, since it uses less digits than its factorization.

1681253919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689598 (or 689595 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 1681253919 is about 41003.0964562434. The cubic root of 1681253919 is about 1189.0800787722.

The spelling of 1681253919 in words is "one billion, six hundred eighty-one million, two hundred fifty-three thousand, nine hundred nineteen".

Divisors: 1 3 9 271 813 2439 689321 2067963 6203889 186805991 560417973 1681253919