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216373131890496 = 26367191371991279
BaseRepresentation
bin110001001100101001001011…
…101010100100111101000000
31001101010001212120212212000000
4301030221023222210331000
5211330024133230443441
62044104240005000000
763401304626144460
oct6114511352447500
91041101776785000
10216373131890496
1162a4136a130839
12203266900b3000
139396b8b832a79
143b607305d5ba0
151a03565b822b6
hexc4ca4baa4f40

216373131890496 has 1568 divisors, whose sum is σ = 784626401280000. Its totient is φ = 57802278150144.

The previous prime is 216373131890459. The next prime is 216373131890519. The reversal of 216373131890496 is 694098131373612.

It is a happy number.

216373131890496 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 7 + 3 + 131 + 8 + 9 + 0 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 169173675585 + ... + 169173676863.

Almost surely, 2216373131890496 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 216373131890496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392313200640000).

216373131890496 is an abundant number, since it is smaller than the sum of its proper divisors (568253269389504).

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

216373131890496 is a wasteful number, since it uses less digits than its factorization.

216373131890496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 216373131890496 in words is "two hundred sixteen trillion, three hundred seventy-three billion, one hundred thirty-one million, eight hundred ninety thousand, four hundred ninety-six".