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45362465053650 = 23252531901990149
BaseRepresentation
bin10100101000001110001011…
…00111011001101111010010
312221121121110011222200010100
422110013011213121233102
521421204312023204100
6240251121224513230
712361221112655343
oct1224070547315722
9187547404880110
1045362465053650
11134aa127a20208
12510767191b816
131c4087b82c724
14b2b7aadac0ca
15539ead976400
hex2941c59d9bd2

45362465053650 has 72 divisors (see below), whose sum is σ = 124173328932900. Its totient is φ = 11868418523520.

The previous prime is 45362465053649. The next prime is 45362465053657. The reversal of 45362465053650 is 5635056426354.

It is a happy number.

45362465053650 is a `hidden beast` number, since 4 + 5 + 3 + 6 + 2 + 4 + 6 + 50 + 536 + 50 = 666.

45362465053650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10670094113121 + 34692370940529 = 3266511^2 + 5890023^2 .

It is not an unprimeable number, because it can be changed into a prime (45362465053657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 950971225 + ... + 951018924.

Almost surely, 245362465053650 is an apocalyptic number.

45362465053650 is an abundant number, since it is smaller than the sum of its proper divisors (78810863879250).

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

45362465053650 is a wasteful number, since it uses less digits than its factorization.

45362465053650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901990220 (or 1901990212 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 54.

The spelling of 45362465053650 in words is "forty-five trillion, three hundred sixty-two billion, four hundred sixty-five million, fifty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 75 90 106 150 159 225 265 318 450 477 530 795 954 1325 1590 2385 2650 3975 4770 7950 11925 23850 1901990149 3803980298 5705970447 9509950745 11411940894 17117911341 19019901490 28529852235 34235822682 47549753725 57059704470 85589556705 95099507450 100805477897 142649261175 171179113410 201610955794 285298522350 302416433691 427947783525 504027389485 604832867382 855895567050 907249301073 1008054778970 1512082168455 1814498602146 2520136947425 3024164336910 4536246505365 5040273894850 7560410842275 9072493010730 15120821684550 22681232526825 45362465053650