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813678021 = 331317197177
BaseRepresentation
bin110000011111111…
…011110111000101
32002201002010102000
4300133323313011
53131300144041
6212423535513
726110102062
oct6037736705
92081063360
10813678021
11388333382
121a85ba599
13cc7618b0
147a0c9c69
154b679bb6
hex307fbdc5

813678021 has 64 divisors (see below), whose sum is σ = 1447084800. Its totient is φ = 446404608.

The previous prime is 813678017. The next prime is 813678023. The reversal of 813678021 is 120876318.

It is not a de Polignac number, because 813678021 - 22 = 813678017 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813678023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109785 + ... + 116961.

It is an arithmetic number, because the mean of its divisors is an integer number (22610700).

Almost surely, 2813678021 is an apocalyptic number.

It is an amenable number.

813678021 is a deficient number, since it is larger than the sum of its proper divisors (633406779).

813678021 is a wasteful number, since it uses less digits than its factorization.

813678021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7235 (or 7229 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 813678021 is about 28525.0419982162. The cubic root of 813678021 is about 933.5785433805.

The spelling of 813678021 in words is "eight hundred thirteen million, six hundred seventy-eight thousand, twenty-one".

Divisors: 1 3 9 13 17 19 27 39 51 57 117 153 171 221 247 323 351 459 513 663 741 969 1989 2223 2907 4199 5967 6669 7177 8721 12597 21531 37791 64593 93301 113373 122009 136363 193779 279903 366027 409089 839709 1098081 1227267 1586117 1772719 2318171 2519127 3294243 3681801 4758351 5318157 6954513 14275053 15954471 20863539 30136223 42825159 47863413 62590617 90408669 271226007 813678021