Search a number
-
+
8011330012 = 2271916790173
BaseRepresentation
bin1110111011000001…
…10011000111011100
3202200022201201202101
413131200303013130
5112401400030022
63402542334444
7402346116160
oct73540630734
922608651671
108011330012
1134412068a4
121676b8a424
139a89ac17a
1455ddb6ca0
1531d4d7627
hex1dd8331dc

8011330012 has 48 divisors (see below), whose sum is σ = 16967139840. Its totient is φ = 3233207232.

The previous prime is 8011330003. The next prime is 8011330037. The reversal of 8011330012 is 2100331108.

It is a super-3 number, since 3×80113300123 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43758 + ... + 133930.

It is an arithmetic number, because the mean of its divisors is an integer number (353482080).

Almost surely, 28011330012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8011330012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8483569920).

8011330012 is an abundant number, since it is smaller than the sum of its proper divisors (8955809828).

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

8011330012 is a wasteful number, since it uses less digits than its factorization.

8011330012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90370 (or 90368 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 8011330012 is about 89506.0333832307. The cubic root of 8011330012 is about 2000.9437222907.

The spelling of 8011330012 in words is "eight billion, eleven million, three hundred thirty thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 76 133 167 266 334 532 668 1169 2338 3173 4676 6346 12692 22211 44422 88844 90173 180346 360692 631211 1262422 1713287 2524844 3426574 6853148 11993009 15058891 23986018 30117782 47972036 60235564 105412237 210824474 286118929 421648948 572237858 1144475716 2002832503 4005665006 8011330012