Search a number
-
+
1698986016 = 25357513
BaseRepresentation
bin110010101000100…
…0111100000100000
311101101221102200000
41211101013200200
511434420023031
6440331100000
760050100000
oct14521074040
94341842600
101698986016
117a2040382
123b4ba1600
13210cb2b90
14121900000
159e2533e6
hex65447820

1698986016 has 432 divisors, whose sum is σ = 6295109184. Its totient is φ = 448084224.

The previous prime is 1698985997. The next prime is 1698986021. The reversal of 1698986016 is 6106898961.

It is a tau number, because it is divible by the number of its divisors (432).

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130691226 + ... + 130691238.

It is an arithmetic number, because the mean of its divisors is an integer number (14572012).

Almost surely, 21698986016 is an apocalyptic number.

1698986016 is a gapful number since it is divisible by the number (16) 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 1698986016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147554592).

1698986016 is an abundant number, since it is smaller than the sum of its proper divisors (4596123168).

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

1698986016 is an frugal number, since it uses more digits than its factorization.

1698986016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 1698986016 is about 41218.7580598931. The cubic root of 1698986016 is about 1193.2458559376.

The spelling of 1698986016 in words is "one billion, six hundred ninety-eight million, nine hundred eighty-six thousand, sixteen".