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12033002064 = 2433714534663
BaseRepresentation
bin10110011010011100…
…10000101001010000
31011001121012211200010
423031032100221100
5144120422031224
65310004554520
7604121554446
oct131516205120
934047184603
1012033002064
115115352606
1223b99b2a40
131199c4b085
1482216cb96
154a65dde29
hex2cd390a50

12033002064 has 80 divisors (see below), whose sum is σ = 31954220672. Its totient is φ = 3899073024.

The previous prime is 12033002063. The next prime is 12033002083. The reversal of 12033002064 is 46020033021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12033002064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033002063) 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, 2578197 + ... + 2582859.

Almost surely, 212033002064 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 12033002064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15977110336).

12033002064 is an abundant number, since it is smaller than the sum of its proper divisors (19921218608).

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

12033002064 is a wasteful number, since it uses less digits than its factorization.

12033002064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6164 (or 6158 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12033002064 its reverse (46020033021), we get a palindrome (58053035085).

The spelling of 12033002064 in words is "twelve billion, thirty-three million, two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1453 1776 2906 4359 4663 5812 8718 9326 11624 13989 17436 18652 23248 27978 34872 37304 53761 55956 69744 74608 107522 111912 161283 172531 215044 223824 322566 345062 430088 517593 645132 690124 860176 1035186 1290264 1380248 2070372 2580528 2760496 4140744 6775339 8281488 13550678 20326017 27101356 40652034 54202712 81304068 108405424 162608136 250687543 325216272 501375086 752062629 1002750172 1504125258 2005500344 3008250516 4011000688 6016501032 12033002064