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164242363554405 = 33541201114755553
BaseRepresentation
bin100101010110000010100111…
…101111001001101001100101
3210112112102020201011222022000
4211112002213233021221211
5133011421330032220110
61341151522235155513
746411055610413103
oct4526024757115145
9715472221158260
10164242363554405
1148372882489534
121650732b2a5b99
137084cb0759486
142c7b530dcac73
1513ec4c2a111c0
hex9560a7bc9a65

164242363554405 has 64 divisors (see below), whose sum is σ = 299256800451840. Its totient is φ = 85416939417600.

The previous prime is 164242363554403. The next prime is 164242363554439. The reversal of 164242363554405 is 504455363242461.

164242363554405 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 4 + 23 + 63 + 554 + 4 + 0 + 5 = 666.

164242363554405 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 164242363554405 - 21 = 164242363554403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164242363554403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3753109 + ... + 18508661.

It is an arithmetic number, because the mean of its divisors is an integer number (4675887507060).

Almost surely, 2164242363554405 is an apocalyptic number.

164242363554405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164242363554405 is a deficient number, since it is larger than the sum of its proper divisors (135014436897435).

164242363554405 is a wasteful number, since it uses less digits than its factorization.

164242363554405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14757619 (or 14757613 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 54.

The spelling of 164242363554405 in words is "one hundred sixty-four trillion, two hundred forty-two billion, three hundred sixty-three million, five hundred fifty-four thousand, four hundred five".

Divisors: 1 3 5 9 15 27 41 45 123 135 205 369 615 1107 1845 2011 5535 6033 10055 18099 30165 54297 82451 90495 247353 271485 412255 742059 1236765 2226177 3710295 11130885 14755553 44266659 73777765 132799977 221333295 398399931 604977673 663999885 1814933019 1991999655 3024888365 5444799057 9074665095 16334397171 27223995285 29673417083 81671985855 89020251249 148367085415 267060753747 445101256245 801182261241 1216610100403 1335303768735 3649830301209 4005911306205 6083050502015 10949490903627 18249151506045 32848472710881 54747454518135 164242363554405