Base | Representation |
---|---|
bin | 1001101101111101000111… |
… | …1101011111101101100110 |
3 | 1101211111010102110102210000 |
4 | 2123133101331133231212 |
5 | 2400031044143131344 |
6 | 34420400421042130 |
7 | 2151654615225300 |
oct | 233372175375546 |
9 | 41744112412700 |
10 | 10685106223974 |
11 | 344a5899a3306 |
12 | 1246a18556346 |
13 | 5c67a7a8bb30 |
14 | 28d23a380970 |
15 | 137e266b9a69 |
hex | 9b7d1f5fb66 |
10685106223974 has 960 divisors, whose sum is σ = 31803368712192. Its totient is φ = 2654213184000.
The previous prime is 10685106223963. The next prime is 10685106223997. The reversal of 10685106223974 is 47932260158601.
It is a happy number.
10685106223974 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 5 + 1 + 0 + 622 + 3 + 9 + 7 + 4 = 666.
It is a super-2 number, since 2×106851062239742 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 10685106223974.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 24791429539 + ... + 24791429969.
It is a 1-persistent number, because it is pandigital, but 2⋅10685106223974 = 21370212447948 is not.
Almost surely, 210685106223974 is an apocalyptic number.
10685106223974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 10685106223974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15901684356096).
10685106223974 is an abundant number, since it is smaller than the sum of its proper divisors (21118262488218).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10685106223974 is a wasteful number, since it uses less digits than its factorization.
10685106223974 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 703 (or 687 counting only the distinct ones).
The product of its (nonzero) digits is 4354560, while the sum is 54.
The spelling of 10685106223974 in words is "ten trillion, six hundred eighty-five billion, one hundred six million, two hundred twenty-three thousand, nine hundred seventy-four".
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