Search a number
-
+
32012482032 = 24322633832207
BaseRepresentation
bin11101110100000101…
…111011010111110000
310001122000010120201200
4131310011323113300
51011030143411112
622412322331200
72212204415256
oct356405732760
9101560116650
1032012482032
1112638236623
126254ab9b00
1330322bc97b
1417998325d6
15c75654cdc
hex77417b5f0

32012482032 has 120 divisors (see below), whose sum is σ = 90206797824. Its totient is φ = 10597694592.

The previous prime is 32012482027. The next prime is 32012482067. The reversal of 32012482032 is 23028421023.

It is a junction number, because it is equal to n+sod(n) for n = 32012481987 and 32012482005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14503873 + ... + 14506079.

Almost surely, 232012482032 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 32012482032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45103398912).

32012482032 is an abundant number, since it is smaller than the sum of its proper divisors (58194315792).

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

32012482032 is a wasteful number, since it uses less digits than its factorization.

32012482032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 32012482032 in words is "thirty-two billion, twelve million, four hundred eighty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 263 383 526 766 789 1052 1149 1532 1578 2104 2207 2298 2367 3064 3156 3447 4208 4414 4596 4734 6128 6312 6621 6894 8828 9192 9468 12624 13242 13788 17656 18384 18936 19863 26484 27576 35312 37872 39726 52968 55152 79452 100729 105936 158904 201458 302187 317808 402916 580441 604374 805832 845281 906561 1160882 1208748 1611664 1690562 1741323 1813122 2321764 2417496 2535843 3381124 3482646 3626244 4643528 4834992 5071686 5223969 6762248 6965292 7252488 7607529 9287056 10143372 10447938 13524496 13930584 14504976 15215058 20286744 20895876 27861168 30430116 40573488 41791752 60860232 83583504 121720464 222308903 444617806 666926709 889235612 1333853418 1778471224 2000780127 2667706836 3556942448 4001560254 5335413672 8003120508 10670827344 16006241016 32012482032