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81224871588 = 2232723312571759
BaseRepresentation
bin100101110100101100…
…0010010111010100100
321202122200220222221100
41023221120102322210
52312322031342323
6101151510520100
75603554005540
oct1135130227244
9252580828840
1081224871588
11314a1360253
12138aa066030
137875b26bc3
143d07700a20
1521a5cbd943
hex12e9612ea4

81224871588 has 288 divisors, whose sum is σ = 253877944320. Its totient is φ = 21386280960.

The previous prime is 81224871577. The next prime is 81224871631. The reversal of 81224871588 is 88517842218.

It is a happy number.

81224871588 is a `hidden beast` number, since 8 + 1 + 2 + 2 + 487 + 158 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46175853 + ... + 46177611.

It is an arithmetic number, because the mean of its divisors is an integer number (881520640).

Almost surely, 281224871588 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 81224871588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126938972160).

81224871588 is an abundant number, since it is smaller than the sum of its proper divisors (172653072732).

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

81224871588 is a wasteful number, since it uses less digits than its factorization.

81224871588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2082 counting only the distinct ones).

The product of its digits is 2293760, while the sum is 54.

The spelling of 81224871588 in words is "eighty-one billion, two hundred twenty-four million, eight hundred seventy-one thousand, five hundred eighty-eight".