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681261933 = 31124185661
BaseRepresentation
bin101000100110110…
…011101101101101
31202110220200200110
4220212303231231
52343400340213
6151333450233
722611426252
oct5046635555
91673820613
10681261933
1131a6111a0
121701a0979
13ab1ab491
146669b429
153ec205c3
hex289b3b6d

681261933 has 16 divisors (see below), whose sum is σ = 995049792. Its totient is φ = 411168000.

The previous prime is 681261907. The next prime is 681261949. The reversal of 681261933 is 339162186.

It is not a de Polignac number, because 681261933 - 26 = 681261869 is a prime.

It is a super-3 number, since 3×6812619333 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 681261891 and 681261900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681265933) 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 15 ways as a sum of consecutive naturals, for example, 34878 + ... + 50783.

It is an arithmetic number, because the mean of its divisors is an integer number (62190612).

Almost surely, 2681261933 is an apocalyptic number.

It is an amenable number.

681261933 is a deficient number, since it is larger than the sum of its proper divisors (313787859).

681261933 is a wasteful number, since it uses less digits than its factorization.

681261933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85916.

The product of its digits is 46656, while the sum is 39.

The square root of 681261933 is about 26100.9948660966. The cubic root of 681261933 is about 879.9095693060.

The spelling of 681261933 in words is "six hundred eighty-one million, two hundred sixty-one thousand, nine hundred thirty-three".

Divisors: 1 3 11 33 241 723 2651 7953 85661 256983 942271 2826813 20644301 61932903 227087311 681261933