Search a number
-
+
5449347544320 = 283253726348611
BaseRepresentation
bin100111101001100011001…
…1011001011010100000000
3201021221201101210111002200
41033103012123023110000
51203240230432404240
615331221245513200
71101462624603561
oct117230633132400
921257641714080
105449347544320
111811067696339
12740153572800
13306b4323b674
1414ba6d75a168
1596b3b57e930
hex4f4c66cb500

5449347544320 has 432 divisors, whose sum is σ = 19437773427072. Its totient is φ = 1408479805440.

The previous prime is 5449347544313. The next prime is 5449347544411. The reversal of 5449347544320 is 234457439445.

5449347544320 is a `hidden beast` number, since 5 + 4 + 4 + 93 + 4 + 7 + 544 + 3 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112076815 + ... + 112125425.

It is an arithmetic number, because the mean of its divisors is an integer number (44994845896).

Almost surely, 25449347544320 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 5449347544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9718886713536).

5449347544320 is an abundant number, since it is smaller than the sum of its proper divisors (13988425882752).

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

5449347544320 is a wasteful number, since it uses less digits than its factorization.

5449347544320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48938 (or 48921 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 5449347544320 in words is "five trillion, four hundred forty-nine billion, three hundred forty-seven million, five hundred forty-four thousand, three hundred twenty".