Search a number
-
+
45019079329 = 7217217832
BaseRepresentation
bin101001111011010110…
…001010001010100001
311022012110100011222111
4221323112022022201
51214144341014304
632403111035321
73152420601100
oct517326121241
9138173304874
1045019079329
1118102107694
12888496bb41
134325b614a3
142270dd8037
15128745b704
hexa7b58a2a1

45019079329 has 27 divisors (see below), whose sum is σ = 55662096627. Its totient is φ = 36297543744.

The previous prime is 45019079327. The next prime is 45019079333. The reversal of 45019079329 is 92397091054.

The square root of 45019079329 is 212177.

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

It can be written as a sum of positive squares in only one way, i.e., 35049456225 + 9969623104 = 187215^2 + 99848^2 .

It is not a de Polignac number, because 45019079329 - 21 = 45019079327 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45019079327) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 25248172 + ... + 25249954.

Almost surely, 245019079329 is an apocalyptic number.

45019079329 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

45019079329 is the 212177-th square number.

45019079329 is the 106089-th centered octagonal number.

It is an amenable number.

45019079329 is a deficient number, since it is larger than the sum of its proper divisors (10643017298).

45019079329 is an frugal number, since it uses more digits than its factorization.

45019079329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 49.

Multiplying 45019079329 by its sum of digits (49), we get a square (2205934887121 = 14852392).

45019079329 divided by its sum of digits (49) gives a square (918756721 = 303112).

The spelling of 45019079329 in words is "forty-five billion, nineteen million, seventy-nine thousand, three hundred twenty-nine".

Divisors: 1 7 17 49 119 289 833 1783 2023 12481 14161 30311 87367 212177 515287 1485239 3179089 3607009 22253623 25249063 54044513 155775361 378311591 918756721 2648181137 6431297047 45019079329