Search a number
-
+
5504219136 = 211331321931
BaseRepresentation
bin1010010000001001…
…11011100000000000
3112012121011022012000
411020010323200000
542233040003021
62310102304000
7253254043053
oct51004734000
915177138160
105504219136
112374a96339
121097428000
13699460200
143a3034a9a
15223354b26
hex14813b800

5504219136 has 576 divisors, whose sum is σ = 19184256000. Its totient is φ = 1552711680.

The previous prime is 5504219113. The next prime is 5504219143. The reversal of 5504219136 is 6319124055.

5504219136 is a `hidden beast` number, since 5 + 504 + 2 + 19 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5504219136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177555441 + ... + 177555471.

It is an arithmetic number, because the mean of its divisors is an integer number (33306000).

Almost surely, 25504219136 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 5504219136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9592128000).

5504219136 is an abundant number, since it is smaller than the sum of its proper divisors (13680036864).

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

5504219136 is a wasteful number, since it uses less digits than its factorization.

5504219136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5504219136 is about 74190.4248269276. The cubic root of 5504219136 is about 1765.6254165310.

The spelling of 5504219136 in words is "five billion, five hundred four million, two hundred nineteen thousand, one hundred thirty-six".