Search a number
-
+
12338133504 = 2938032639
BaseRepresentation
bin10110111110110100…
…01111101000000000
31011211212101010022120
423133122033220000
5200232030233004
65400145004240
7614515255464
oct133732175000
934755333276
1012338133504
115261611354
122484023680
131218224718
148508ba4a4
154c32b33d9
hex2df68fa00

12338133504 has 40 divisors (see below), whose sum is σ = 32869562880. Its totient is φ = 4112710656.

The previous prime is 12338133499. The next prime is 12338133527. The reversal of 12338133504 is 40533183321.

12338133504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4014784 + ... + 4017855.

It is an arithmetic number, because the mean of its divisors is an integer number (821739072).

Almost surely, 212338133504 is an apocalyptic number.

It is an amenable number.

12338133504 is an abundant number, since it is smaller than the sum of its proper divisors (20531429376).

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

12338133504 is an frugal number, since it uses more digits than its factorization.

12338133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8032660 (or 8032644 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 12338133504 in words is "twelve billion, three hundred thirty-eight million, one hundred thirty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 8032639 16065278 24097917 32130556 48195834 64261112 96391668 128522224 192783336 257044448 385566672 514088896 771133344 1028177792 1542266688 2056355584 3084533376 4112711168 6169066752 12338133504