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168088601331 = 3372739171923
BaseRepresentation
bin1001110010001011011…
…1001000001011110011
3121001212101100200002000
42130202313020023303
510223221140220311
6205115134025043
715100251352200
oct2344267101363
9531771320060
10168088601331
11653166a7052
12286b0648183
1312b09c62161
1481c7c82ca7
15458bb3a056
hex2722dc82f3

168088601331 has 48 divisors (see below), whose sum is σ = 290070172800. Its totient is φ = 95920097616.

The previous prime is 168088601321. The next prime is 168088601389. The reversal of 168088601331 is 133106880861.

168088601331 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 8 + 8 + 601 + 3 + 31 = 666.

168088601331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 168088601331 - 29 = 168088600819 is a prime.

It is a super-2 number, since 2×1680886013312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (168088601321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 891736 + ... + 1063658.

It is an arithmetic number, because the mean of its divisors is an integer number (6043128600).

Almost surely, 2168088601331 is an apocalyptic number.

168088601331 is a deficient number, since it is larger than the sum of its proper divisors (121981571469).

168088601331 is a wasteful number, since it uses less digits than its factorization.

168088601331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172685 (or 172672 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 168088601331 in words is "one hundred sixty-eight billion, eighty-eight million, six hundred one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 739 1323 2217 5173 6651 15519 19953 36211 46557 108633 139671 171923 325899 515769 977697 1203461 1547307 3610383 4641921 8424227 10831149 25272681 32493447 75818043 127051097 227454129 381153291 889357679 1143459873 2668073037 3430379619 6225503753 8004219111 18676511259 24012657333 56029533777 168088601331