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816283338256 = 242258712
BaseRepresentation
bin10111110000011100100…
…01110100011000010000
32220000222012010000210201
423320032101310120100
5101333222013311011
61422555000504544
7112655155615261
oct13701621643020
92800865100721
10816283338256
11295202733841
1211224b77b154
135bc8a648879
142b718bb0968
1516377b04cc1
hexbe0e474610

816283338256 has 15 divisors (see below), whose sum is σ = 1581555969903. Its totient is φ = 408139862160.

The previous prime is 816283338253. The next prime is 816283338289. The reversal of 816283338256 is 652833382618.

The square root of 816283338256 is 903484.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 816283338197 and 816283338206.

It is not an unprimeable number, because it can be changed into a prime (816283338253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3501001 + ... + 3726871.

Almost surely, 2816283338256 is an apocalyptic number.

816283338256 is the 903484-th square number.

It is an amenable number.

816283338256 is a deficient number, since it is larger than the sum of its proper divisors (765272631647).

816283338256 is an frugal number, since it uses more digits than its factorization.

816283338256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451750 (or 225873 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 55.

The spelling of 816283338256 in words is "eight hundred sixteen billion, two hundred eighty-three million, three hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 225871 451742 903484 1806968 3613936 51017708641 102035417282 204070834564 408141669128 816283338256