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813291839352 = 23341493840643
BaseRepresentation
bin10111101010110111111…
…10001001111101111000
32212202020201002010210000
423311123332021331320
5101311110202324402
61421342054353000
7112521062400156
oct13653376117570
92782221063700
10813291839352
11293a0804a3a3
1211175595b760
135b90194c885
142b51377c3d6
151625018ec1c
hexbd5bf89f78

813291839352 has 80 divisors (see below), whose sum is σ = 2279498676840. Its totient is φ = 270915378624.

The previous prime is 813291839329. The next prime is 813291839359. The reversal of 813291839352 is 253938192318.

813291839352 is a `hidden beast` number, since 8 + 1 + 329 + 183 + 93 + 52 = 666.

It is a super-2 number, since 2×8132918393522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813291839359) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 547143 + ... + 1387785.

Almost surely, 2813291839352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813291839352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139749338420).

813291839352 is an abundant number, since it is smaller than the sum of its proper divisors (1466206837488).

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

813291839352 is a wasteful number, since it uses less digits than its factorization.

813291839352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842154 (or 842141 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 813291839352 in words is "eight hundred thirteen billion, two hundred ninety-one million, eight hundred thirty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1493 2986 4479 5972 8958 11944 13437 17916 26874 35832 40311 53748 80622 107496 120933 161244 241866 322488 483732 840643 967464 1681286 2521929 3362572 5043858 6725144 7565787 10087716 15131574 20175432 22697361 30263148 45394722 60526296 68092083 90789444 136184166 181578888 272368332 544736664 1255079999 2510159998 3765239997 5020319996 7530479994 10040639992 11295719991 15060959988 22591439982 30121919976 33887159973 45182879964 67774319946 90365759928 101661479919 135548639892 203322959838 271097279784 406645919676 813291839352