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191072905000 = 235438214581
BaseRepresentation
bin1011000111110011010…
…1010010011100101000
3200021012012101021100021
42301330311102130220
511112304130430000
6223435551250224
716542651615655
oct2617465223450
9607165337307
10191072905000
117404074563a
1231045b19974
13150309b6a43
149368646c2c
154e8489911a
hex2c7cd52728

191072905000 has 40 divisors (see below), whose sum is σ = 447683828130. Its totient is φ = 76429160000.

The previous prime is 191072904991. The next prime is 191072905013. The reversal of 191072905000 is 509270191.

191072905000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 8605530756 + 182467374244 = 92766^2 + 427162^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 9 ways as a sum of consecutive naturals, for example, 19102291 + ... + 19112290.

Almost surely, 2191072905000 is an apocalyptic number.

191072905000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

191072905000 is an abundant number, since it is smaller than the sum of its proper divisors (256610923130).

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

191072905000 is an equidigital number, since it uses as much as digits as its factorization.

191072905000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38214607 (or 38214588 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 34.

The spelling of 191072905000 in words is "one hundred ninety-one billion, seventy-two million, nine hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 38214581 76429162 152858324 191072905 305716648 382145810 764291620 955364525 1528583240 1910729050 3821458100 4776822625 7642916200 9553645250 19107290500 23884113125 38214581000 47768226250 95536452500 191072905000