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2823461859856 = 24112381892
BaseRepresentation
bin101001000101100011011…
…100001111001000010000
3100222220211220121120011011
4221011203130033020100
5332224422214003411
610001025214300304
7410663005552621
oct51054334171020
910886756546134
102823461859856
11999472681100
123972577b7694
1317633618cb51
149a928baba48
154d6a0e11c21
hex2916370f210

2823461859856 has 45 divisors (see below), whose sum is σ = 6013139507053. Its totient is φ = 1283358148160.

The previous prime is 2823461859793. The next prime is 2823461859943. The reversal of 2823461859856 is 6589581643282.

The square root of 2823461859856 is 1680316.

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

It can be written as a sum of positive squares in only one way, i.e., 266788778256 + 2556673081600 = 516516^2 + 1598960^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2823461859791 and 2823461859800.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 73914810 + ... + 73952998.

Almost surely, 22823461859856 is an apocalyptic number.

2823461859856 is the 1680316-th square number.

It is an amenable number.

2823461859856 is an abundant number, since it is smaller than the sum of its proper divisors (3189677647197).

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

2823461859856 is an frugal number, since it uses more digits than its factorization.

2823461859856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76408 (or 38202 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 67.

The spelling of 2823461859856 in words is "two trillion, eight hundred twenty-three billion, four hundred sixty-one million, eight hundred fifty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 38189 76378 152756 305512 420079 611024 840158 1680316 3360632 4620869 6721264 9241738 18483476 36966952 73933904 1458399721 2916799442 5833598884 11667197768 16042396931 23334395536 32084793862 64169587724 128339175448 176466366241 256678350896 352932732482 705865464964 1411730929928 2823461859856