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813037642596 = 223267222432
BaseRepresentation
bin10111101010011001101…
…00011110001101100100
32212201120222202121101100
423311030310132031210
5101310100114030341
61421300534200100
7112511554635564
oct13651464361544
92781528677340
10813037642596
1129389760a633
121116a47b3030
135b89109abaa
142b4cbaccda4
1516237bcc3b6
hexbd4cd1e364

813037642596 has 81 divisors (see below), whose sum is σ = 2087241174291. Its totient is φ = 266848561584.

The previous prime is 813037642589. The next prime is 813037642597. The reversal of 813037642596 is 695246730318.

The square root of 813037642596 is 901686.

It is a perfect power (a square), and thus also a powerful number.

813037642596 is a `hidden beast` number, since 8 + 1 + 3 + 0 + 3 + 7 + 6 + 42 + 596 = 666.

It is a super-2 number, since 2×8130376425962 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (813037642597) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 362476651 + ... + 362478893.

It is a 1-persistent number, because it is pandigital, but 2⋅813037642596 = 1626075285192 is not.

Almost surely, 2813037642596 is an apocalyptic number.

813037642596 is the 901686-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813037642596

813037642596 is an abundant number, since it is smaller than the sum of its proper divisors (1274203531695).

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

813037642596 is an equidigital number, since it uses as much as digits as its factorization.

813037642596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 813037642596 in words is "eight hundred thirteen billion, thirty-seven million, six hundred forty-two thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2243 2412 4486 4489 6729 8972 8978 13458 13467 17956 20187 26916 26934 40374 40401 53868 80748 80802 150281 161604 300562 450843 601124 901686 1352529 1803372 2705058 5031049 5410116 10062098 10068827 15093147 20124196 20137654 30186294 30206481 40275308 45279441 60372588 60412962 90558882 90619443 120825924 181117764 181238886 337080283 362477772 674160566 1011240849 1348321132 2022481698 3033722547 4044963396 6067445094 12134890188 22584378961 45168757922 67753136883 90337515844 135506273766 203259410649 271012547532 406518821298 813037642596