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681086133 = 327213118801
BaseRepresentation
bin101000100110001…
…000110010110101
31202110120202112100
4220212020302311
52343324224013
6151330012313
722610064600
oct5046106265
91673522470
10681086133
1131a501102
12170117099
13ab149460
1466653337
153ebd8473
hex28988cb5

681086133 has 36 divisors (see below), whose sum is σ = 1232451948. Its totient is φ = 359251200.

The previous prime is 681086129. The next prime is 681086191. The reversal of 681086133 is 331680186.

It can be written as a sum of positive squares in 2 ways, for example, as 84603204 + 596482929 = 9198^2 + 24423^2 .

It is not a de Polignac number, because 681086133 - 22 = 681086129 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681086233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53668 + ... + 65133.

Almost surely, 2681086133 is an apocalyptic number.

681086133 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

681086133 is a deficient number, since it is larger than the sum of its proper divisors (551365815).

681086133 is a wasteful number, since it uses less digits than its factorization.

681086133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118834 (or 118824 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 681086133 is about 26097.6269610859. The cubic root of 681086133 is about 879.8338757523.

The spelling of 681086133 in words is "six hundred eighty-one million, eighty-six thousand, one hundred thirty-three".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 5733 118801 356403 831607 1069209 1544413 2494821 4633239 5821249 7484463 10810891 13899717 17463747 32432673 52391241 75676237 97298019 227028711 681086133