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813283266640 = 24513782003141
BaseRepresentation
bin10111101010110110111…
…01011101000001010000
32212202020002221121020011
423311123131131001100
5101311101004013030
61421341150524304
7112520626463635
oct13653335350120
92782202847204
10813283266640
11293a03224609
12111752b06694
135b8ccc3a870
142b51258a18c
151624e549b2a
hexbd5b75d050

813283266640 has 40 divisors (see below), whose sum is σ = 2036336181768. Its totient is φ = 300289205760.

The previous prime is 813283266487. The next prime is 813283266661. The reversal of 813283266640 is 46662382318.

It can be written as a sum of positive squares in 4 ways, for example, as 16091429904 + 797191836736 = 126852^2 + 892856^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×8132832666402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391000531 + ... + 391002610.

Almost surely, 2813283266640 is an apocalyptic number.

813283266640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813283266640 is an abundant number, since it is smaller than the sum of its proper divisors (1223052915128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

813283266640 is a wasteful number, since it uses less digits than its factorization.

813283266640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782003167 (or 782003161 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

The spelling of 813283266640 in words is "eight hundred thirteen billion, two hundred eighty-three million, two hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 782003141 1564006282 3128012564 3910015705 6256025128 7820031410 10166040833 12512050256 15640062820 20332081666 31280125640 40664163332 50830204165 62560251280 81328326664 101660408330 162656653328 203320816660 406641633320 813283266640