Search a number
-
+
10686206693376 = 21236171311607
BaseRepresentation
bin1001101110000001001110…
…0011011101000000000000
31101211120222010012002000000
42123200103203131000000
52400040322403142001
634421101532000000
72152024110115014
oct233402343350000
941746863162000
1010686206693376
11344aaa40a9255
121247085000000
135c6921a75366
1428d3025a2544
15137e8d0e4a86
hex9b8138dd000

10686206693376 has 728 divisors, whose sum is σ = 34204997939904. Its totient is φ = 3324873277440.

The previous prime is 10686206693321. The next prime is 10686206693399. The reversal of 10686206693376 is 67339660268601.

It is a happy number.

10686206693376 is a `hidden beast` number, since 1 + 0 + 68 + 62 + 0 + 66 + 93 + 376 = 666.

It is a super-2 number, since 2×106862066933762 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6649785565 + ... + 6649787171.

Almost surely, 210686206693376 is an apocalyptic number.

10686206693376 is a gapful number since it is divisible by the number (16) 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 10686206693376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17102498969952).

10686206693376 is an abundant number, since it is smaller than the sum of its proper divisors (23518791246528).

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

10686206693376 is an equidigital number, since it uses as much as digits as its factorization.

10686206693376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 10686206693376 in words is "ten trillion, six hundred eighty-six billion, two hundred six million, six hundred ninety-three thousand, three hundred seventy-six".