Search a number
-
+
48150491904 = 283319223839
BaseRepresentation
bin101100110101111111…
…100011001100000000
311121021200122102111000
4230311333203030000
51242103011220104
634041532052000
73323133266604
oct546577431400
9147250572430
1048150491904
1119469774269
1293b9604000
134704837438
14248ac4b504
1513bc30c639
hexb35fe3300

48150491904 has 432 divisors, whose sum is σ = 156998822400. Its totient is φ = 14526978048.

The previous prime is 48150491903. The next prime is 48150491911. The reversal of 48150491904 is 40919405184.

It is a happy number.

48150491904 is a `hidden beast` number, since 4 + 8 + 150 + 491 + 9 + 0 + 4 = 666.

48150491904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 48150491904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48150491903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57389917 + ... + 57390755.

It is an arithmetic number, because the mean of its divisors is an integer number (363423200).

Almost surely, 248150491904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48150491904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78499411200).

48150491904 is an abundant number, since it is smaller than the sum of its proper divisors (108848330496).

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

48150491904 is a wasteful number, since it uses less digits than its factorization.

48150491904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 48150491904 in words is "forty-eight billion, one hundred fifty million, four hundred ninety-one thousand, nine hundred four".