Search a number
-
+
6706199682 = 23372131931331
BaseRepresentation
bin1100011111011100…
…00111110010000010
3122022100220020112000
412033232013302002
5102213241342212
63025241044430
7325120520400
oct61756076202
918270806460
106706199682
112931525096
121371a86716
1382b498cc0
1447891c470
15293b321dc
hex18fb87c82

6706199682 has 384 divisors, whose sum is σ = 20347084800. Its totient is φ = 1616630400.

The previous prime is 6706199681. The next prime is 6706199683. The reversal of 6706199682 is 2869916076.

It is an interprime number because it is at equal distance from previous prime (6706199681) and next prime (6706199683).

It is a super-2 number, since 2×67061996822 = 89946228349713802248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6706199681) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 20260257 + ... + 20260587.

It is an arithmetic number, because the mean of its divisors is an integer number (52987200).

Almost surely, 26706199682 is an apocalyptic number.

6706199682 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6706199682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10173542400).

6706199682 is an abundant number, since it is smaller than the sum of its proper divisors (13640885118).

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

6706199682 is a wasteful number, since it uses less digits than its factorization.

6706199682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 6706199682 is about 81891.3895473755. The cubic root of 6706199682 is about 1885.7849275337.

The spelling of 6706199682 in words is "six billion, seven hundred six million, one hundred ninety-nine thousand, six hundred eighty-two".