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16897400961 = 3723295711831
BaseRepresentation
bin11111011110010100…
…11110000010000001
31121121121102220111020
433233022132002001
5234101213312321
611432413540053
71135506352440
oct175712360201
947547386436
1016897400961
117191162491
123336aa4629
13179397c90c
14b64212d57
1568d6ac4c6
hex3ef29e081

16897400961 has 32 divisors (see below), whose sum is σ = 26879275008. Its totient is φ = 9231942720.

The previous prime is 16897400951. The next prime is 16897401023. The reversal of 16897400961 is 16900479861.

It is a happy number.

16897400961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16897400961 - 213 = 16897392769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16897400921) 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 31 ways as a sum of consecutive naturals, for example, 1422316 + ... + 1434146.

It is an arithmetic number, because the mean of its divisors is an integer number (839977344).

Almost surely, 216897400961 is an apocalyptic number.

It is an amenable number.

16897400961 is a deficient number, since it is larger than the sum of its proper divisors (9981874047).

16897400961 is a wasteful number, since it uses less digits than its factorization.

16897400961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14821.

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 16897400961 in words is "sixteen billion, eight hundred ninety-seven million, four hundred thousand, nine hundred sixty-one".

Divisors: 1 3 7 21 23 69 161 483 2957 8871 11831 20699 35493 62097 68011 82817 204033 248451 272113 476077 816339 1428231 1904791 5714373 34984267 104952801 244889869 734669607 804638141 2413914423 5632466987 16897400961