Search a number
-
+
199953180006 = 232311777123031
BaseRepresentation
bin1011101000111000100…
…0110110010101100110
3201010010002011222112120
42322032020312111212
511234001003230011
6231505054330410
720306011662366
oct2721610662546
9633102158476
10199953180006
11778883a2698
1232903ab9a06
1315b17708338
14996bbb49a6
1553042c6a06
hex2e8e236566

199953180006 has 32 divisors (see below), whose sum is σ = 417332418048. Its totient is φ = 63747256320.

The previous prime is 199953179981. The next prime is 199953180059. The reversal of 199953180006 is 600081359991.

It is a happy number.

199953180006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1563711 + ... + 1686741.

It is an arithmetic number, because the mean of its divisors is an integer number (13041638064).

Almost surely, 2199953180006 is an apocalyptic number.

199953180006 is an abundant number, since it is smaller than the sum of its proper divisors (217379238042).

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

199953180006 is a wasteful number, since it uses less digits than its factorization.

199953180006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134836.

The product of its (nonzero) digits is 524880, while the sum is 51.

The spelling of 199953180006 in words is "one hundred ninety-nine billion, nine hundred fifty-three million, one hundred eighty thousand, six".

Divisors: 1 2 3 6 23 46 69 138 11777 23554 35331 70662 123031 246062 270871 369093 541742 738186 812613 1625226 2829713 5659426 8489139 16978278 1448936087 2897872174 4346808261 8693616522 33325530001 66651060002 99976590003 199953180006