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71116022412 = 223317192412617
BaseRepresentation
bin100001000111011011…
…0000110001010001100
320210120012100020211000
41002032312012022030
52131121200204122
652400435100300
75065215134211
oct1021666061214
9223505306730
1071116022412
1128184160246
1211948741690
136924718146
143628d25b08
151cb35ae0ac
hex108ed8628c

71116022412 has 288 divisors, whose sum is σ = 211141909440. Its totient is φ = 20613242880.

The previous prime is 71116022399. The next prime is 71116022423. The reversal of 71116022412 is 21422061117.

71116022412 is a `hidden beast` number, since 7 + 1 + 11 + 602 + 2 + 41 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27173328 + ... + 27175944.

It is an arithmetic number, because the mean of its divisors is an integer number (733131630).

Almost surely, 271116022412 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 71116022412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105570954720).

71116022412 is an abundant number, since it is smaller than the sum of its proper divisors (140025887028).

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

71116022412 is a wasteful number, since it uses less digits than its factorization.

71116022412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 71116022412 its reverse (21422061117), we get a palindrome (92538083529).

The spelling of 71116022412 in words is "seventy-one billion, one hundred sixteen million, twenty-two thousand, four hundred twelve".