Search a number
-
+
686373373686 = 23711137310315199
BaseRepresentation
bin10011111110011110000…
…10101000011011110110
32102121122112121001120110
421333033002220123312
542221143040424221
61243152055243450
7100405654262010
oct11771702503366
92377575531513
10686373373686
112450a896a660
12b1035079586
134c956309150
14253136611b0
1512cc2b28776
hex9fcf0a86f6

686373373686 has 256 divisors, whose sum is σ = 1886640537600. Its totient is φ = 160724321280.

The previous prime is 686373373607. The next prime is 686373373703.

686373373686 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6863733736862 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45151515 + ... + 45166713.

It is an arithmetic number, because the mean of its divisors is an integer number (7369689600).

Almost surely, 2686373373686 is an apocalyptic number.

686373373686 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 686373373686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943320268800).

686373373686 is an abundant number, since it is smaller than the sum of its proper divisors (1200267163914).

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

686373373686 is a wasteful number, since it uses less digits than its factorization.

686373373686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15411.

The product of its digits is 329204736, while the sum is 66.

The spelling of 686373373686 in words is "six hundred eighty-six billion, three hundred seventy-three million, three hundred seventy-three thousand, six hundred eighty-six".