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32012086518 = 233412714967
BaseRepresentation
bin11101110100000100…
…011010110011110110
310001121222101111012000
4131310010122303312
51011030043232033
622412310040130
72212201150206
oct356404326366
9101558344160
1032012086518
1112637a96455
126254949046
1330321b1939
14179976c406
15c755c7a13
hex77411acf6

32012086518 has 96 divisors (see below), whose sum is σ = 73957224960. Its totient is φ = 10261742400.

The previous prime is 32012086511. The next prime is 32012086531. The reversal of 32012086518 is 81568021023.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32012086511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6442471 + ... + 6447437.

It is an arithmetic number, because the mean of its divisors is an integer number (770387760).

Almost surely, 232012086518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32012086518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36978612480).

32012086518 is an abundant number, since it is smaller than the sum of its proper divisors (41945138442).

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

32012086518 is a wasteful number, since it uses less digits than its factorization.

32012086518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 32012086518 in words is "thirty-two billion, twelve million, eighty-six thousand, five hundred eighteen".

Divisors: 1 2 3 6 9 18 27 41 54 71 82 123 142 213 246 369 426 639 738 1107 1278 1681 1917 2214 2911 3362 3834 4967 5043 5822 8733 9934 10086 14901 15129 17466 26199 29802 30258 44703 45387 52398 78597 89406 90774 119351 134109 157194 203647 238702 268218 352657 358053 407294 610941 705314 716106 1057971 1074159 1221882 1832823 2115942 2148318 3173913 3222477 3665646 5498469 6347826 6444954 8349527 9521739 10996938 14458937 16699054 19043478 25048581 28917874 43376811 50097162 75145743 86753622 130130433 150291486 225437229 260260866 390391299 450874458 592816417 780782598 1185632834 1778449251 3556898502 5335347753 10670695506 16006043259 32012086518