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16480628208 = 243211313747193
BaseRepresentation
bin11110101100101001…
…00110110111110000
31120112120012122202100
433112110212313300
5232223020100313
611323205020400
71122256012512
oct172624466760
946476178670
1016480628208
116a979809a0
12323b3b4700
131728517b15
14b24b23bb2
15666cd4173
hex3d6526df0

16480628208 has 480 divisors, whose sum is σ = 54759923712. Its totient is φ = 4578508800.

The previous prime is 16480628141. The next prime is 16480628209. The reversal of 16480628208 is 80282608461.

16480628208 is a `hidden beast` number, since 16 + 4 + 8 + 0 + 628 + 2 + 0 + 8 = 666.

It is a super-2 number, since 2×164806282082 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16480628209) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 85391760 + ... + 85391952.

Almost surely, 216480628208 is an apocalyptic number.

16480628208 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 16480628208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27379961856).

16480628208 is an abundant number, since it is smaller than the sum of its proper divisors (38279295504).

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

16480628208 is a wasteful number, since it uses less digits than its factorization.

16480628208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 16480628208 in words is "sixteen billion, four hundred eighty million, six hundred twenty-eight thousand, two hundred eight".