Search a number
-
+
9891042147 = 3272211106297
BaseRepresentation
bin10010011011000110…
…10101001101100011
3221112022202000001100
421031203111031203
5130224101322042
64313251205443
7500052320400
oct111543251543
927468660040
109891042147
1142162653a8
121b005a6883
13c1825b57c
1469b8bd2a7
153cd53924c
hex24d8d5363

9891042147 has 36 divisors (see below), whose sum is σ = 16698565416. Its totient is φ = 5625184320.

The previous prime is 9891042101. The next prime is 9891042167. The reversal of 9891042147 is 7412401989.

It is a happy number.

9891042147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9891042147 - 211 = 9891040099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9891042167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39903 + ... + 146199.

Almost surely, 29891042147 is an apocalyptic number.

9891042147 is a deficient number, since it is larger than the sum of its proper divisors (6807523269).

9891042147 is a wasteful number, since it uses less digits than its factorization.

9891042147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106528 (or 106518 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9891042147 is about 99453.7186182598. The cubic root of 9891042147 is about 2146.5813451963.

The spelling of 9891042147 in words is "nine billion, eight hundred ninety-one million, forty-two thousand, one hundred forty-seven".

Divisors: 1 3 7 9 21 49 63 147 211 441 633 1477 1899 4431 10339 13293 31017 93051 106297 318891 744079 956673 2232237 5208553 6696711 15625659 22428667 46876977 67286001 157000669 201858003 471002007 1099004683 1413006021 3297014049 9891042147