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81368343467712 = 263373112715710883
BaseRepresentation
bin10010100000000100001011…
…001101010101011011000000
3101200002201220202111100122000
4102200010023031111123000
541131114331411431322
6445020033445544000
723065445255516340
oct2240041315253300
9350081822440560
1081368343467712
1123a2113668a154
129161891715000
133653004136782
14161436ab46d20
1596189d8053ac
hex4a010b3556c0

81368343467712 has 896 divisors, whose sum is σ = 286259077447680. Its totient is φ = 22176798658560.

The previous prime is 81368343467707. The next prime is 81368343467717. The reversal of 81368343467712 is 21776434386318.

81368343467712 is a `hidden beast` number, since 8 + 1 + 3 + 68 + 3 + 43 + 467 + 71 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (81368343467707) and next prime (81368343467717).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 81368343467712.

It is not an unprimeable number, because it can be changed into a prime (81368343467717) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 7476641023 + ... + 7476651905.

Almost surely, 281368343467712 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 81368343467712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143129538723840).

81368343467712 is an abundant number, since it is smaller than the sum of its proper divisors (204890733979968).

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

81368343467712 is a wasteful number, since it uses less digits than its factorization.

81368343467712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11226 (or 11210 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 81368343467712 in words is "eighty-one trillion, three hundred sixty-eight billion, three hundred forty-three million, four hundred sixty-seven thousand, seven hundred twelve".