Search a number
-
+
16449521088 = 26372111312227
BaseRepresentation
bin11110101000111011…
…11100010111000000
31120110101200020210210
433110131330113000
5232142034133323
611320134154120
71121430423300
oct172435742700
946411606723
1016449521088
116a81364730
123230ab2940
131721c45c40
14b20947600
156641dc293
hex3d477c5c0

16449521088 has 336 divisors, whose sum is σ = 59484426624. Its totient is φ = 3943618560.

The previous prime is 16449521069. The next prime is 16449521093. The reversal of 16449521088 is 88012594461.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1339231 + ... + 1351457.

It is an arithmetic number, because the mean of its divisors is an integer number (177036984).

Almost surely, 216449521088 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 16449521088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29742213312).

16449521088 is an abundant number, since it is smaller than the sum of its proper divisors (43034905536).

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

16449521088 is a wasteful number, since it uses less digits than its factorization.

16449521088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12280 (or 12263 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 16449521088 in words is "sixteen billion, four hundred forty-nine million, five hundred twenty-one thousand, eighty-eight".