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81600012 = 2232131131543
BaseRepresentation
bin1001101110100…
…01111000001100
312200112201011200
410313101320030
5131342200022
612032545500
72010405624
oct467217014
9180481150
1081600012
114207432a
12233b2290
1313ba0740
14aba1884
15726cbac
hex4dd1e0c

81600012 has 72 divisors (see below), whose sum is σ = 224244384. Its totient is φ = 24869376.

The previous prime is 81599993. The next prime is 81600023. The reversal of 81600012 is 21000618.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 52113 + ... + 53655.

Almost surely, 281600012 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 81600012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112122192).

81600012 is an abundant number, since it is smaller than the sum of its proper divisors (142644372).

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

81600012 is a wasteful number, since it uses less digits than its factorization.

81600012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 81600012 is about 9033.2724967201. The cubic root of 81600012 is about 433.7405983118.

The spelling of 81600012 in words is "eighty-one million, six hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 113 117 156 226 234 339 452 468 678 1017 1356 1469 1543 2034 2938 3086 4068 4407 4629 5876 6172 8814 9258 13221 13887 17628 18516 20059 26442 27774 40118 52884 55548 60177 80236 120354 174359 180531 240708 348718 361062 523077 697436 722124 1046154 1569231 2092308 2266667 3138462 4533334 6276924 6800001 9066668 13600002 20400003 27200004 40800006 81600012