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81738334116 = 2234733344173
BaseRepresentation
bin100110000011111111…
…0111111111110100100
321210222111002121010000
41030013332333332210
52314400003142431
6101314452101300
75622360243045
oct1140776777644
9253874077100
1081738334116
113173518224a
1213a12004830
13792831389a
143d5599c8cc
1521d5de59e6
hex1307fbffa4

81738334116 has 60 divisors (see below), whose sum is σ = 213972287452. Its totient is φ = 27208861632.

The previous prime is 81738334081. The next prime is 81738334123. The reversal of 81738334116 is 61143383718.

It can be written as a sum of positive squares in 2 ways, for example, as 52052422500 + 29685911616 = 228150^2 + 172296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65406 + ... + 409578.

Almost surely, 281738334116 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 81738334116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106986143726).

81738334116 is an abundant number, since it is smaller than the sum of its proper divisors (132233953336).

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

81738334116 is a wasteful number, since it uses less digits than its factorization.

81738334116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344922 (or 344911 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 81738334116 in words is "eighty-one billion, seven hundred thirty-eight million, three hundred thirty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 733 1466 2199 2932 4398 6597 8796 13194 19791 26388 39582 59373 79164 118746 237492 344173 688346 1032519 1376692 2065038 3097557 4130076 6195114 9292671 12390228 18585342 27878013 37170684 55756026 111512052 252278809 504557618 756836427 1009115236 1513672854 2270509281 3027345708 4541018562 6811527843 9082037124 13623055686 20434583529 27246111372 40869167058 81738334116