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813164384256 = 212379453641
BaseRepresentation
bin10111101010101000101…
…11111101000000000000
32212201220211020202020220
423311110113331000000
5101310330040244011
61421321302503040
7112514654136030
oct13652427750000
92781824222226
10813164384256
11293952106504
1211171b134a80
135b8b1415563
142b5008818c0
1516243db5506
hexbd545fd000

813164384256 has 104 divisors (see below), whose sum is σ = 2477913011904. Its totient is φ = 232332656640.

The previous prime is 813164384233. The next prime is 813164384257. The reversal of 813164384256 is 652483461318.

It is a super-2 number, since 2×8131643842562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 813164384199 and 813164384208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813164384257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4640805 + ... + 4812836.

Almost surely, 2813164384256 is an apocalyptic number.

It is an amenable number.

813164384256 is an abundant number, since it is smaller than the sum of its proper divisors (1664748627648).

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

813164384256 is an equidigital number, since it uses as much as digits as its factorization.

813164384256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9453675 (or 9453653 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The spelling of 813164384256 in words is "eight hundred thirteen billion, one hundred sixty-four million, three hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 10752 12288 14336 21504 28672 43008 86016 9453641 18907282 28360923 37814564 56721846 66175487 75629128 113443692 132350974 151258256 198526461 226887384 264701948 302516512 397052922 453774768 529403896 605033024 794105844 907549536 1058807792 1210066048 1588211688 1815099072 2117615584 2420132096 3176423376 3630198144 4235231168 4840264192 6352846752 7260396288 8470462336 9680528384 12705693504 14520792576 16940924672 19361056768 25411387008 29041585152 33881849344 38722113536 50822774016 58083170304 67763698688 101645548032 116166340608 135527397376 203291096064 271054794752 406582192128 813164384256