Search a number
-
+
1009091918191 = 71011427287013
BaseRepresentation
bin11101010111100101001…
…00001011100101101111
310120110122100110201112211
432223302210023211233
5113013110012340231
62051323113511251
7132622144532110
oct16536244134557
93513570421484
101009091918191
11359a54098675
1214369aa12527
1374206abcba6
1436ba9b48207
151b3aea4ceb1
hexeaf290b96f

1009091918191 has 8 divisors (see below), whose sum is σ = 1164666203424. Its totient is φ = 856372207200.

The previous prime is 1009091918179. The next prime is 1009091918267. The reversal of 1009091918191 is 1918191909001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1009091918191 - 227 = 1008957700463 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009091913191) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 713642800 + ... + 713644213.

It is an arithmetic number, because the mean of its divisors is an integer number (145583275428).

Almost surely, 21009091918191 is an apocalyptic number.

1009091918191 is a deficient number, since it is larger than the sum of its proper divisors (155574285233).

1009091918191 is a wasteful number, since it uses less digits than its factorization.

1009091918191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427287121.

The product of its (nonzero) digits is 52488, while the sum is 49.

The spelling of 1009091918191 in words is "one trillion, nine billion, ninety-one million, nine hundred eighteen thousand, one hundred ninety-one".

Divisors: 1 7 101 707 1427287013 9991009091 144155988313 1009091918191