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352549750081 = 1725326592
BaseRepresentation
bin1010010000101011001…
…10100100010101000001
31020200222210112220221011
411020111212210111001
521234010214000311
6425543100400521
734320340300654
oct5102546442501
91220883486834
10352549750081
11126574163321
12583b0246141
1327325bc9499
14130c635389b
159285d0a321
hex52159a4541

352549750081 has 27 divisors (see below), whose sum is σ = 382287477481. Its totient is φ = 325056927104.

The previous prime is 352549750067. The next prime is 352549750117. The reversal of 352549750081 is 180057945253.

The square root of 352549750081 is 593759.

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

It can be written as a sum of positive squares in 4 ways, for example, as 88333189681 + 264216560400 = 297209^2 + 514020^2 .

It is not a de Polignac number, because 352549750081 - 227 = 352415532353 is a prime.

It is a super-2 number, since 2×3525497500812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (352549750181) 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, 534976530 + ... + 534977188.

Almost surely, 2352549750081 is an apocalyptic number.

352549750081 is the 593759-th square number.

352549750081 is the 296880-th centered octagonal number.

It is an amenable number.

352549750081 is a deficient number, since it is larger than the sum of its proper divisors (29737727400).

352549750081 is an frugal number, since it uses more digits than its factorization.

352549750081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 49.

Multiplying 352549750081 by its sum of digits (49), we get a square (17274937753969 = 41563132).

The spelling of 352549750081 in words is "three hundred fifty-two billion, five hundred forty-nine million, seven hundred fifty thousand, eighty-one".

Divisors: 1 17 53 289 659 901 2809 11203 15317 34927 47753 190451 434281 593759 811801 1851131 7382777 10093903 23016893 31469227 125507209 391287181 534976859 1219895329 6651882077 20738220593 352549750081