Search a number
-
+
9090909126 = 234136316841
BaseRepresentation
bin10000111011101110…
…00100001111000110
3212110120011000220000
420131313010033012
5122104233043001
64102025422130
7441165311145
oct103567041706
925416130800
109090909126
113945643642
12191863a946
13b1b55cc90
1462351b75c
15383187a86
hex21ddc43c6

9090909126 has 80 divisors (see below), whose sum is σ = 21975299808. Its totient is φ = 2792361600.

The previous prime is 9090909031. The next prime is 9090909127. The reversal of 9090909126 is 6219090909.

It is a happy number.

9090909126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9090909127) 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 39 ways as a sum of consecutive naturals, for example, 1325466 + ... + 1332306.

Almost surely, 29090909126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9090909126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10987649904).

9090909126 is an abundant number, since it is smaller than the sum of its proper divisors (12884390682).

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

9090909126 is a wasteful number, since it uses less digits than its factorization.

9090909126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7499 (or 7490 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 9090909126 is about 95346.2591085775. The cubic root of 9090909126 is about 2087.0640251086.

The spelling of 9090909126 in words is "nine billion, ninety million, nine hundred nine thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 631 702 1053 1262 1893 2106 3786 5679 6841 8203 11358 13682 16406 17037 20523 24609 34074 41046 49218 51111 61569 73827 88933 102222 123138 147654 177866 184707 221481 266799 369414 442962 533598 554121 664443 800397 1108242 1328886 1600794 2401191 4316671 4802382 7203573 8633342 12950013 14407146 25900026 38850039 56116723 77700078 112233446 116550117 168350169 233100234 336700338 349650351 505050507 699300702 1010101014 1515151521 3030303042 4545454563 9090909126