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168664365981 = 321724115492953
BaseRepresentation
bin1001110100010100101…
…1011111101110011101
3121010100111202112200200
42131011023133232131
510230411034202411
6205252222414113
715120442312266
oct2350513375635
9533314675620
10168664365981
1165591701601
1228831431339
1312b9c3238b7
14824051b96d
1545c246be56
hex27452dfb9d

168664365981 has 48 divisors (see below), whose sum is σ = 259282623600. Its totient is φ = 105285795840.

The previous prime is 168664365973. The next prime is 168664366033. The reversal of 168664365981 is 189563466861.

168664365981 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 6 + 4 + 36 + 598 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21776904900 + 146887461081 = 147570^2 + 383259^2 .

It is not a de Polignac number, because 168664365981 - 23 = 168664365973 is a prime.

It is a super-2 number, since 2×1686643659812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168664365911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57114801 + ... + 57117753.

It is an arithmetic number, because the mean of its divisors is an integer number (5401721325).

Almost surely, 2168664365981 is an apocalyptic number.

It is an amenable number.

168664365981 is a deficient number, since it is larger than the sum of its proper divisors (90618257619).

168664365981 is a wasteful number, since it uses less digits than its factorization.

168664365981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 4763 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 168664365981 in words is "one hundred sixty-eight billion, six hundred sixty-four million, three hundred sixty-five thousand, nine hundred eighty-one".

Divisors: 1 3 9 17 51 153 241 723 1549 2169 2953 4097 4647 8859 12291 13941 26333 26577 36873 50201 78999 150603 236997 373309 451809 711673 1119927 2135019 3359781 4574197 6346253 6405057 12098441 13722591 19038759 36295323 41167773 57116277 77761349 108885969 233284047 699852141 1102381477 3307144431 9921433293 18740485109 56221455327 168664365981