Search a number
-
+
2016918794592 = 2538131922389
BaseRepresentation
bin11101010110011001101…
…110100111000101100000
321010211000112112200000000
4131112121232213011200
5231021122202411332
64142320521300000
7265501061612562
oct35263156470540
97124015480000
102016918794592
11708409095659
12286a86034600
1311826b794830
146d895871332
15376e84b3b7c
hex1d599ba7160

2016918794592 has 1296 divisors, whose sum is σ = 7143096935520. Its totient is φ = 556046954496.

The previous prime is 2016918794581. The next prime is 2016918794617. The reversal of 2016918794592 is 2954978196102.

2016918794592 is a `hidden beast` number, since 2 + 0 + 16 + 91 + 87 + 9 + 459 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×20169187945922 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 22662008884 + ... + 22662008972.

It is an arithmetic number, because the mean of its divisors is an integer number (5511648870).

Almost surely, 22016918794592 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 2016918794592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571548467760).

2016918794592 is an abundant number, since it is smaller than the sum of its proper divisors (5126178140928).

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

2016918794592 is an equidigital number, since it uses as much as digits as its factorization.

2016918794592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 2016918794592 in words is "two trillion, sixteen billion, nine hundred eighteen million, seven hundred ninety-four thousand, five hundred ninety-two".