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45322445405200 = 2452113306113513
BaseRepresentation
bin10100100111000011101000…
…10000100011110000010000
312221110210011010221220000111
422103201310100203300100
521420030332010431300
6240220502144531104
712355303306401415
oct1223416420436020
9187423133856014
1045322445405200
1113494160971a87
1250bb963320a94
131c39b7168aa82
14b29891d6810c
15538e1a3ac9ba
hex293874423c10

45322445405200 has 30 divisors (see below), whose sum is σ = 108887175086954. Its totient is φ = 18128978161920.

The previous prime is 45322445405191. The next prime is 45322445405239. The reversal of 45322445405200 is 250454422354.

It can be written as a sum of positive squares in 3 ways, for example, as 5260310784 + 45317185094416 = 72528^2 + 6731804^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 5 ways as a sum of consecutive naturals, for example, 56653056357 + ... + 56653057156.

Almost surely, 245322445405200 is an apocalyptic number.

45322445405200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45322445405200 is an abundant number, since it is smaller than the sum of its proper divisors (63564729681754).

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

45322445405200 is a wasteful number, since it uses less digits than its factorization.

45322445405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113306113531 (or 113306113520 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 40.

Adding to 45322445405200 its reverse (250454422354), we get a palindrome (45572899827554).

The spelling of 45322445405200 in words is "forty-five trillion, three hundred twenty-two billion, four hundred forty-five million, four hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 113306113513 226612227026 453224454052 566530567565 906448908104 1133061135130 1812897816208 2266122270260 2832652837825 4532244540520 5665305675650 9064489081040 11330611351300 22661222702600 45322445405200