Search a number
-
+
48513790176 = 2534211200361
BaseRepresentation
bin101101001011101001…
…011011000011100000
311122020000020220000120
4231023221123003200
51243324012241201
634141550520240
73335134261335
oct551351330340
9148200226016
1048513790176
1119635851675
12949b206080
134761b98527
1424c31ba98c
1513de171536
hexb4ba5b0e0

48513790176 has 48 divisors (see below), whose sum is σ = 127651296528. Its totient is φ = 16132838400.

The previous prime is 48513790151. The next prime is 48513790177. The reversal of 48513790176 is 67109731584.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×485137901762 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48513790177) 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 7 ways as a sum of consecutive naturals, for example, 559765 + ... + 640596.

It is an arithmetic number, because the mean of its divisors is an integer number (2659402011).

Almost surely, 248513790176 is an apocalyptic number.

It is an amenable number.

48513790176 is an abundant number, since it is smaller than the sum of its proper divisors (79137506352).

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

48513790176 is a wasteful number, since it uses less digits than its factorization.

48513790176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200795 (or 1200787 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 48513790176 in words is "forty-eight billion, five hundred thirteen million, seven hundred ninety thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 421 842 1263 1684 2526 3368 5052 6736 10104 13472 20208 40416 1200361 2400722 3601083 4801444 7202166 9602888 14404332 19205776 28808664 38411552 57617328 115234656 505351981 1010703962 1516055943 2021407924 3032111886 4042815848 6064223772 8085631696 12128447544 16171263392 24256895088 48513790176