Search a number
-
+
16451322048 = 263373173601
BaseRepresentation
bin11110101001001001…
…10100000011000000
31120110112001202021000
433110210310003000
5232143014301143
611320240532000
71121451634020
oct172444640300
946415052230
1016451322048
116a82384827
123231621000
1317224268b5
14b20c95a80
15664445bd3
hex3d49340c0

16451322048 has 448 divisors, whose sum is σ = 57933783040. Its totient is φ = 4478976000.

The previous prime is 16451321989. The next prime is 16451322067. The reversal of 16451322048 is 84022315461.

It is a happy number.

16451322048 is a `hidden beast` number, since 1 + 645 + 1 + 3 + 2 + 2 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27372948 + ... + 27373548.

It is an arithmetic number, because the mean of its divisors is an integer number (129316480).

Almost surely, 216451322048 is an apocalyptic number.

16451322048 is a gapful number since it is divisible by the number (18) 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 16451322048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28966891520).

16451322048 is an abundant number, since it is smaller than the sum of its proper divisors (41482460992).

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

16451322048 is a wasteful number, since it uses less digits than its factorization.

16451322048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 16451322048 in words is "sixteen billion, four hundred fifty-one million, three hundred twenty-two thousand, forty-eight".