Search a number
-
+
20482868952 = 23337132711129
BaseRepresentation
bin10011000100110111…
…111100011011011000
31221212111010112221000
4103010313330123120
5313422103301302
613224254545000
71323404341050
oct230467743330
957774115830
1020482868952
118761055677
123b77808160
131c15742400
14dc449c560
157ed34d31c
hex4c4dfc6d8

20482868952 has 384 divisors, whose sum is σ = 71466624000. Its totient is φ = 5321272320.

The previous prime is 20482868947. The next prime is 20482868963. The reversal of 20482868952 is 25986828402.

It is a happy number.

20482868952 is a `hidden beast` number, since 2 + 0 + 482 + 86 + 89 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18141924 + ... + 18143052.

It is an arithmetic number, because the mean of its divisors is an integer number (186111000).

Almost surely, 220482868952 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 20482868952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35733312000).

20482868952 is an abundant number, since it is smaller than the sum of its proper divisors (50983755048).

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

20482868952 is a wasteful number, since it uses less digits than its factorization.

20482868952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 20482868952 in words is "twenty billion, four hundred eighty-two million, eight hundred sixty-eight thousand, nine hundred fifty-two".