Search a number
-
+
55103007960 = 2332571121313901
BaseRepresentation
bin110011010100011001…
…010010110011011000
312021020020000211112200
4303110121102303120
51400322332223320
641151452410200
73660334560660
oct632431226330
9167206024480
1055103007960
1121407236500
12a819a76960
135272056270
14294a3671a0
151677897290
hexcd4652cd8

55103007960 has 576 divisors, whose sum is σ = 242288504640. Its totient is φ = 10568448000.

The previous prime is 55103007929. The next prime is 55103007977. The reversal of 55103007960 is 6970030155.

It is a happy number.

55103007960 is a `hidden beast` number, since 551 + 0 + 30 + 0 + 79 + 6 + 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 143 ways as a sum of consecutive naturals, for example, 3957010 + ... + 3970910.

It is an arithmetic number, because the mean of its divisors is an integer number (420639765).

Almost surely, 255103007960 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 55103007960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121144252320).

55103007960 is an abundant number, since it is smaller than the sum of its proper divisors (187185496680).

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

55103007960 is a wasteful number, since it uses less digits than its factorization.

55103007960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13960 (or 13942 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 55103007960 in words is "fifty-five billion, one hundred three million, seven thousand, nine hundred sixty".