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5317709792256 = 210361721572
BaseRepresentation
bin100110101100010000000…
…1101000000010000000000
3200211100221100010211000000
41031120200031000100000
51144111132201323011
615150531104000000
71056122543303061
oct115304015002000
920740840124000
105317709792256
1117702565aa904
1271a736300000
132c75c4c73794
14145542970568
15934d4a61356
hex4d620340400

5317709792256 has 693 divisors, whose sum is σ = 17039255955879. Its totient is φ = 1657674989568.

The previous prime is 5317709792243. The next prime is 5317709792279. The reversal of 5317709792256 is 6522979077135.

The square root of 5317709792256 is 2306016.

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

5317709792256 is a `hidden beast` number, since 5 + 317 + 7 + 0 + 97 + 9 + 225 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35802694656 + 5281907097600 = 189216^2 + 2298240^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5317709792193 and 5317709792202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 33870762930 + ... + 33870763086.

Almost surely, 25317709792256 is an apocalyptic number.

5317709792256 is the 2306016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5317709792256

5317709792256 is an abundant number, since it is smaller than the sum of its proper divisors (11721546163623).

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

5317709792256 is an frugal number, since it uses more digits than its factorization.

5317709792256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 50009400, while the sum is 63.

The spelling of 5317709792256 in words is "five trillion, three hundred seventeen billion, seven hundred nine million, seven hundred ninety-two thousand, two hundred fifty-six".