Search a number
-
+
5083306576920 = 23345111318795839
BaseRepresentation
bin100100111111000110010…
…1011101100110000011000
3122222221220101010201020000
41021332030223230300120
51131241102440430140
614451123325333000
71033154034660525
oct111761453546030
918887811121200
105083306576920
11168a90004a840
126a1219107160
132ab47a271b70
1413806773014c
158c366141a30
hex49f8caecc18

5083306576920 has 640 divisors, whose sum is σ = 20086665984000. Its totient is φ = 1136723051520.

The previous prime is 5083306576877. The next prime is 5083306576937. The reversal of 5083306576920 is 296756033805.

It is a happy number.

5083306576920 is a `hidden beast` number, since 508 + 3 + 3 + 0 + 6 + 57 + 69 + 20 = 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 870575361 + ... + 870581199.

It is an arithmetic number, because the mean of its divisors is an integer number (31385415600).

Almost surely, 25083306576920 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 5083306576920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10043332992000).

5083306576920 is an abundant number, since it is smaller than the sum of its proper divisors (15003359407080).

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

5083306576920 is a wasteful number, since it uses less digits than its factorization.

5083306576920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7765 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 5083306576920 in words is "five trillion, eighty-three billion, three hundred six million, five hundred seventy-six thousand, nine hundred twenty".