Search a number
-
+
198446938260480 = 210335721317196977
BaseRepresentation
bin101101000111110010000111…
…010000110000010000000000
3222000122100020022222021012000
4231013302013100300100000
5202002323312143313410
61542021133114304000
756541214061330100
oct5507620720602000
9860570208867160
10198446938260480
115825a968168778
121a31041a128000
1386966099b5690
143700c5118d200
1517e20d8662dc0
hexb47c87430400

198446938260480 has 4224 divisors, whose sum is σ = 984839460595200. Its totient is φ = 37327762096128.

The previous prime is 198446938260451. The next prime is 198446938260509. The reversal of 198446938260480 is 84062839644891.

198446938260480 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 4 + 6 + 9 + 3 + 8 + 2 + 604 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (198446938260451) and next prime (198446938260509).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 198446938260399 and 198446938260408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28443014752 + ... + 28443021728.

Almost surely, 2198446938260480 is an apocalyptic number.

198446938260480 is a gapful number since it is divisible by the number (10) 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 198446938260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492419730297600).

198446938260480 is an abundant number, since it is smaller than the sum of its proper divisors (786392522334720).

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

198446938260480 is a wasteful number, since it uses less digits than its factorization.

198446938260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7074 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 198446938260480 in words is "one hundred ninety-eight trillion, four hundred forty-six billion, nine hundred thirty-eight million, two hundred sixty thousand, four hundred eighty".