Search a number
-
+
12033440104 = 2372361315241
BaseRepresentation
bin10110011010011111…
…11011100101101000
31011001122001002112211
423031033323211220
5144121030040404
65310022214504
7604125360520
oct131517734550
934048032484
1012033440104
115115621724
1223b9b84434
13119a07257a
14822244680
154a6678b04
hex2cd3fb968

12033440104 has 64 divisors (see below), whose sum is σ = 26952733440. Its totient is φ = 4924592640.

The previous prime is 12033440101. The next prime is 12033440113. The reversal of 12033440104 is 40104433021.

It is not an unprimeable number, because it can be changed into a prime (12033440101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781924 + ... + 797164.

It is an arithmetic number, because the mean of its divisors is an integer number (421136460).

Almost surely, 212033440104 is an apocalyptic number.

12033440104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033440104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13476366720).

12033440104 is an abundant number, since it is smaller than the sum of its proper divisors (14919293336).

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

12033440104 is a wasteful number, since it uses less digits than its factorization.

12033440104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15890 (or 15886 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12033440104 its reverse (40104433021), we get a palindrome (52137873125).

The spelling of 12033440104 in words is "twelve billion, thirty-three million, four hundred forty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 613 644 1226 1288 2452 4291 4904 8582 14099 15241 17164 28198 30482 34328 56396 60964 98693 106687 112792 121928 197386 213374 350543 394772 426748 701086 789544 853496 1402172 2453801 2804344 4907602 9342733 9815204 18685466 19630408 37370932 65399131 74741864 130798262 214882859 261596524 429765718 523193048 859531436 1504180013 1719062872 3008360026 6016720052 12033440104