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164411235907 = 17163467127051
BaseRepresentation
bin1001100100011110101…
…1000101111001000011
3120201101002202011001121
42121013223011321003
510143203234022112
6203310211213111
714610156306202
oct2310753057103
9521332664047
10164411235907
11637a9946a76
1227a44ba7197
1312672134b99
147d59715239
154423d95407
hex2647ac5e43

164411235907 has 16 divisors (see below), whose sum is σ = 175526911872. Its totient is φ = 153460137600.

The previous prime is 164411235893. The next prime is 164411235913. The reversal of 164411235907 is 709532114461.

It is a happy number.

164411235907 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 164411235907 - 223 = 164402847299 is a prime.

It is a super-3 number, since 3×1644112359073 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164411235607) 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 15 ways as a sum of consecutive naturals, for example, 1230532 + ... + 1357582.

It is an arithmetic number, because the mean of its divisors is an integer number (10970431992).

Almost surely, 2164411235907 is an apocalyptic number.

164411235907 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

164411235907 is a deficient number, since it is larger than the sum of its proper divisors (11115675965).

164411235907 is a wasteful number, since it uses less digits than its factorization.

164411235907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127698.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 164411235907 in words is "one hundred sixty-four billion, four hundred eleven million, two hundred thirty-five thousand, nine hundred seven".

Divisors: 1 17 163 467 2771 7939 76121 127051 1294057 2159867 20709313 59332817 352058321 1008657889 9671249171 164411235907