Search a number
-
+
55205849700 = 22345213152027
BaseRepresentation
bin110011011010100001…
…100110101001100100
312021111101112201220000
4303122201212221210
51401030144142300
641210004541300
73663023660061
oct633241465144
9167441481800
1055205849700
112145a298a81
12a8483b1830
13528a453371
142959c97c68
15168190dc00
hexcda866a64

55205849700 has 180 divisors, whose sum is σ = 180325093872. Its totient is φ = 14608900800.

The previous prime is 55205849689. The next prime is 55205849701. The reversal of 55205849700 is 794850255.

55205849700 is a `hidden beast` number, since 5 + 520 + 58 + 4 + 9 + 70 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55205849701) 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 59 ways as a sum of consecutive naturals, for example, 1035087 + ... + 1087113.

Almost surely, 255205849700 is an apocalyptic number.

55205849700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55205849700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90162546936).

55205849700 is an abundant number, since it is smaller than the sum of its proper divisors (125119244172).

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

55205849700 is a wasteful number, since it uses less digits than its factorization.

55205849700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52184 (or 52168 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 55205849700 in words is "fifty-five billion, two hundred five million, eight hundred forty-nine thousand, seven hundred".