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641102657 = 131724112037
BaseRepresentation
bin100110001101100…
…111001101000001
31122200100101111212
4212031213031001
52303110241112
6143341015505
721613165646
oct4615471501
91580311455
10641102657
112a9981a08
1215a854595
13a2a8a2b0
1461205dcd
153b43b522
hex26367341

641102657 has 16 divisors (see below), whose sum is σ = 734125392. Its totient is φ = 554618880.

The previous prime is 641102653. The next prime is 641102659. The reversal of 641102657 is 756201146.

It can be written as a sum of positive squares in 8 ways, for example, as 43349056 + 597753601 = 6584^2 + 24449^2 .

It is not a de Polignac number, because 641102657 - 22 = 641102653 is a prime.

It is a super-2 number, since 2×6411026572 = 822025233624919298, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (641102653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47243 + ... + 59279.

It is an arithmetic number, because the mean of its divisors is an integer number (45882837).

Almost surely, 2641102657 is an apocalyptic number.

It is an amenable number.

641102657 is a deficient number, since it is larger than the sum of its proper divisors (93022735).

641102657 is a wasteful number, since it uses less digits than its factorization.

641102657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12308.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 641102657 is about 25320.0050750390. The cubic root of 641102657 is about 862.2685092391.

The spelling of 641102657 in words is "six hundred forty-one million, one hundred two thousand, six hundred fifty-seven".

Divisors: 1 13 17 221 241 3133 4097 12037 53261 156481 204629 2660177 2900917 37711921 49315589 641102657