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681259311 = 32893172683
BaseRepresentation
bin101000100110110…
…011000100101111
31202110220120002100
4220212303010233
52343400244221
6151333430143
722611415515
oct5046630457
91673816070
10681259311
1131a60a227
1217019b353
13ab1aa225
146669a4b5
153ec1e926
hex289b312f

681259311 has 24 divisors (see below), whose sum is σ = 998609040. Its totient is φ = 447486336.

The previous prime is 681259279. The next prime is 681259331. The reversal of 681259311 is 113952186.

681259311 is a `hidden beast` number, since 68 + 1 + 2 + 593 + 1 + 1 = 666.

681259311 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 681259311 - 25 = 681259279 is a prime.

It is a super-2 number, since 2×6812593112 = 928228497648389442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681259331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252576 + ... + 255258.

It is an arithmetic number, because the mean of its divisors is an integer number (41608710).

Almost surely, 2681259311 is an apocalyptic number.

681259311 is a deficient number, since it is larger than the sum of its proper divisors (317349729).

681259311 is a wasteful number, since it uses less digits than its factorization.

681259311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3092 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 681259311 is about 26100.9446380778. The cubic root of 681259311 is about 879.9084404568.

The spelling of 681259311 in words is "six hundred eighty-one million, two hundred fifty-nine thousand, three hundred eleven".

Divisors: 1 3 9 89 267 317 801 951 2683 2853 8049 24147 28213 84639 238787 253917 716361 850511 2149083 2551533 7654599 75695479 227086437 681259311