Search a number
-
+
12034032032 = 25112310114717
BaseRepresentation
bin10110011010100100…
…01100000110100000
31011001200011011112002
423031102030012200
5144121203011112
65310043023132
7604133404331
oct131522140640
934050134462
1012034032032
115115996420
1223ba20aaa8
13119a21bb19
1482235a288
154a67441c2
hex2cd48c1a0

12034032032 has 96 divisors (see below), whose sum is σ = 27238425984. Its totient is φ = 5180032000.

The previous prime is 12034032019. The next prime is 12034032047. The reversal of 12034032032 is 23023043021.

It is a junction number, because it is equal to n+sod(n) for n = 12034031995 and 12034032013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810338 + ... + 825054.

It is an arithmetic number, because the mean of its divisors is an integer number (283733604).

Almost surely, 212034032032 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 12034032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13619212992).

12034032032 is an abundant number, since it is smaller than the sum of its proper divisors (15204393952).

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

12034032032 is a wasteful number, since it uses less digits than its factorization.

12034032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14862 (or 14854 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12034032032 its reverse (23023043021), we get a palindrome (35057075053).

The spelling of 12034032032 in words is "twelve billion, thirty-four million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 101 176 184 202 253 352 368 404 506 736 808 1012 1111 1616 2024 2222 2323 3232 4048 4444 4646 8096 8888 9292 14717 17776 18584 25553 29434 35552 37168 51106 58868 74336 102212 117736 161887 204424 235472 323774 338491 408848 470944 647548 676982 817696 1295096 1353964 1486417 2590192 2707928 2972834 3723401 5180384 5415856 5945668 7446802 10831712 11891336 14893604 16350587 23782672 29787208 32701174 34187591 47565344 59574416 65402348 68375182 119148832 130804696 136750364 261609392 273500728 376063501 523218784 547001456 752127002 1094002912 1504254004 3008508008 6017016016 12034032032