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16679862144 = 27351148751
BaseRepresentation
bin11111000100011001…
…00111111110000000
31121001110002210100000
433202030213332000
5233130021042034
611355043200000
71130225326461
oct174214477600
947043083300
1016679862144
11708a390340
123296076000
13175a89451a
14b43386d68
1567953b599
hex3e2327f80

16679862144 has 192 divisors, whose sum is σ = 54301927680. Its totient is φ = 5054400000.

The previous prime is 16679862097. The next prime is 16679862161. The reversal of 16679862144 is 44126897661.

16679862144 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 9 + 8 + 621 + 4 + 4 = 666.

16679862144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×166798621442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317769 + ... + 366519.

It is an arithmetic number, because the mean of its divisors is an integer number (282822540).

Almost surely, 216679862144 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 16679862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27150963840).

16679862144 is an abundant number, since it is smaller than the sum of its proper divisors (37622065536).

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

16679862144 is an equidigital number, since it uses as much as digits as its factorization.

16679862144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48791 (or 48767 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 16679862144 in words is "sixteen billion, six hundred seventy-nine million, eight hundred sixty-two thousand, one hundred forty-four".