Search a number
-
+
217899061380 = 22325721113315573
BaseRepresentation
bin1100101011101111001…
…0111101000010000100
3202211102202112012202200
43022323302331002010
512032224124431010
6244033525034500
721512512314300
oct3127362750204
9684382465680
10217899061380
1184457380a10
1236291b55a30
131771766a960
14a791354d00
155a04a3ecc0
hex32bbcbd084

217899061380 has 864 divisors, whose sum is σ = 932596374528. Its totient is φ = 40439347200.

The previous prime is 217899061357. The next prime is 217899061417. The reversal of 217899061380 is 83160998712.

217899061380 is a `hidden beast` number, since 2 + 17 + 8 + 9 + 9 + 0 + 613 + 8 + 0 = 666.

217899061380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39096274 + ... + 39101846.

It is an arithmetic number, because the mean of its divisors is an integer number (1079393952).

Almost surely, 2217899061380 is an apocalyptic number.

217899061380 is a gapful number since it is divisible by the number (20) 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 217899061380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466298187264).

217899061380 is an abundant number, since it is smaller than the sum of its proper divisors (714697313148).

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

217899061380 is a wasteful number, since it uses less digits than its factorization.

217899061380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5657 (or 5645 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 217899061380 in words is "two hundred seventeen billion, eight hundred ninety-nine million, sixty-one thousand, three hundred eighty".