Search a number
-
+
45120011647320 = 233252335411538909
BaseRepresentation
bin10100100001001010100100…
…10001000011100101011000
312220202102122012010111100100
422100211102101003211120
521403221240440203240
6235543502554535400
712334545644011401
oct1220452221034530
9186672565114310
1045120011647320
1113416320331535
125088688737560
131c23a5009369c
14b1db6a95a9a8
15533a1d444e30
hex290952443958

45120011647320 has 192 divisors, whose sum is σ = 153059003697600. Its totient is φ = 11505614883840.

The previous prime is 45120011647301. The next prime is 45120011647331. The reversal of 45120011647320 is 2374611002154.

45120011647320 is a `hidden beast` number, since 4 + 5 + 1 + 2 + 0 + 0 + 1 + 1 + 647 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 28550026 + ... + 30088934.

It is an arithmetic number, because the mean of its divisors is an integer number (797182310925).

Almost surely, 245120011647320 is an apocalyptic number.

45120011647320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45120011647320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76529501848800).

45120011647320 is an abundant number, since it is smaller than the sum of its proper divisors (107938992050280).

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

45120011647320 is a wasteful number, since it uses less digits than its factorization.

45120011647320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542490 (or 1542483 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 45120011647320 its reverse (2374611002154), we get a palindrome (47494622649474).

The spelling of 45120011647320 in words is "forty-five trillion, one hundred twenty billion, eleven million, six hundred forty-seven thousand, three hundred twenty".