Search a number
-
+
16222646191896 = 233519294328191
BaseRepresentation
bin1110110000010010000100…
…0100000100011100011000
32010102212111002212020100000
43230010201010010130120
54111242434411120041
654300325240413000
73263022203304534
oct354044104043430
963385432766300
1016222646191896
115194a92940841
1219a0083477160
13908a344a9021
1440127490cbc4
151d1ec5572bb6
hexec121104718

16222646191896 has 576 divisors, whose sum is σ = 50802425856000. Its totient is φ = 4830667994880.

The previous prime is 16222646191859. The next prime is 16222646191901. The reversal of 16222646191896 is 69819164622261.

16222646191896 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 2 + 6 + 4 + 619 + 1 + 8 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1980541161 + ... + 1980549351.

It is an arithmetic number, because the mean of its divisors is an integer number (88198656000).

Almost surely, 216222646191896 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 16222646191896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401212928000).

16222646191896 is an abundant number, since it is smaller than the sum of its proper divisors (34579779664104).

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

16222646191896 is a wasteful number, since it uses less digits than its factorization.

16222646191896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8346 (or 8287 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 16222646191896 in words is "sixteen trillion, two hundred twenty-two billion, six hundred forty-six million, one hundred ninety-one thousand, eight hundred ninety-six".