Search a number
-
+
55504483200 = 27335217233153
BaseRepresentation
bin110011101100010100…
…110011001110000000
312022021012110220001000
4303230110303032000
51402133121430300
641255353412000
74003311215505
oct635424631600
9168235426030
1055504483200
11215a2919821
12a91040a000
13530729318a
1429877d34ac
15169cc4cc00
hexcec533380

55504483200 has 1536 divisors, whose sum is σ = 236042035200. Its totient is φ = 12651724800.

The previous prime is 55504483171. The next prime is 55504483207. The reversal of 55504483200 is 238440555.

55504483200 is a `hidden beast` number, since 5 + 5 + 5 + 0 + 448 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55504483207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1047254374 + ... + 1047254426.

It is an arithmetic number, because the mean of its divisors is an integer number (153673200).

Almost surely, 255504483200 is an apocalyptic number.

55504483200 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 55504483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118021017600).

55504483200 is an abundant number, since it is smaller than the sum of its proper divisors (180537552000).

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

55504483200 is a wasteful number, since it uses less digits than its factorization.

55504483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 55504483200 in words is "fifty-five billion, five hundred four million, four hundred eighty-three thousand, two hundred".