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9042009042 = 23111011379901
BaseRepresentation
bin10000110101111001…
…00001101111010010
3212100011010122120210
420122330201233102
5122004223242132
64053121344550
7440032544253
oct103274415722
925304118523
109042009042
11391aa84250
121904198156
13b1139b411
1461ac2cb2a
1537dc28bcc
hex21af21bd2

9042009042 has 64 divisors (see below), whose sum is σ = 20070799488. Its totient is φ = 2692800000.

The previous prime is 9042009019. The next prime is 9042009049. The reversal of 9042009042 is 2409002409.

9042009042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9042009049) 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 31 ways as a sum of consecutive naturals, for example, 908292 + ... + 918192.

It is an arithmetic number, because the mean of its divisors is an integer number (313606242).

Almost surely, 29042009042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9042009042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10035399744).

9042009042 is an abundant number, since it is smaller than the sum of its proper divisors (11028790446).

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

9042009042 is a wasteful number, since it uses less digits than its factorization.

9042009042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10155.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 9042009042 is about 95089.4791341292. The cubic root of 9042009042 is about 2083.3151831564.

It can be divided in two parts, 904200 and 9042, that multiplied together give a square (8175776400 = 904202).

The spelling of 9042009042 in words is "nine billion, forty-two million, nine thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 101 137 202 274 303 411 606 822 1111 1507 2222 3014 3333 4521 6666 9042 9901 13837 19802 27674 29703 41511 59406 83022 108911 152207 217822 304414 326733 456621 653466 913242 1000001 1356437 2000002 2712874 3000003 4069311 6000006 8138622 11000011 14920807 22000022 29841614 33000033 44762421 66000066 89524842 137000137 274000274 411000411 822000822 1507001507 3014003014 4521004521 9042009042