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9936103661 = 11231511791453
BaseRepresentation
bin10010100000011110…
…01110100011101101
3221122110112100211022
421100033032203231
5130322120304121
64321541103525
7501140326151
oct112017164355
927573470738
109936103661
114239742820
121b136b7ba5
13c246a7ba3
146a388d061
153d248aaab
hex2503ce8ed

9936103661 has 32 divisors (see below), whose sum is σ = 11457054720. Its totient is φ = 8529048000.

The previous prime is 9936103651. The next prime is 9936103669. The reversal of 9936103661 is 1663016399.

9936103661 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 9936103661 - 210 = 9936102637 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9936103669) 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, 6837611 + ... + 6839063.

It is an arithmetic number, because the mean of its divisors is an integer number (358032960).

Almost surely, 29936103661 is an apocalyptic number.

It is an amenable number.

9936103661 is a deficient number, since it is larger than the sum of its proper divisors (1520951059).

9936103661 is a wasteful number, since it uses less digits than its factorization.

9936103661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817.

The product of its (nonzero) digits is 157464, while the sum is 44.

The square root of 9936103661 is about 99680.0063252406. The cubic root of 9936103661 is about 2149.8361988784.

The spelling of 9936103661 in words is "nine billion, nine hundred thirty-six million, one hundred three thousand, six hundred sixty-one".

Divisors: 1 11 23 151 179 253 1453 1661 1969 3473 4117 15983 27029 33419 38203 45287 219403 260087 297319 367609 621667 2413433 2860957 5046269 5982001 6838337 39273137 55508959 65802011 432004507 903282151 9936103661