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382820345450 = 252171014459177
BaseRepresentation
bin1011001001000011101…
…11101110011001101010
31100121010102000111100222
411210201313232121222
522233004002023300
6451510520330042
736441434150414
oct5444167563152
91317112014328
10382820345450
11138398117694
1262239913922
132a13b36538a
14147586b99b4
159e58585785
hex5921dee66a

382820345450 has 48 divisors (see below), whose sum is σ = 761395725144. Its totient is φ = 142693632000.

The previous prime is 382820345447. The next prime is 382820345507. The reversal of 382820345450 is 54543028283.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 113315044129 + 269505301321 = 336623^2 + 519139^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2143739 + ... + 2315438.

Almost surely, 2382820345450 is an apocalyptic number.

382820345450 is a deficient number, since it is larger than the sum of its proper divisors (378575379694).

382820345450 is a wasteful number, since it uses less digits than its factorization.

382820345450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459307 (or 4459302 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 382820345450 in words is "three hundred eighty-two billion, eight hundred twenty million, three hundred forty-five thousand, four hundred fifty".

Divisors: 1 2 5 10 17 25 34 50 85 101 170 202 425 505 850 1010 1717 2525 3434 5050 8585 17170 42925 85850 4459177 8918354 22295885 44591770 75806009 111479425 151612018 222958850 379030045 450376877 758060090 900753754 1895150225 2251884385 3790300450 4503768770 7656406909 11259421925 15312813818 22518843850 38282034545 76564069090 191410172725 382820345450