Search a number
-
+
164430512071 = 71743237113553
BaseRepresentation
bin1001100100100011010…
…0100111111111000111
3120201102110000110222121
42121020310213333013
510143223202341241
6203312140310411
714610512202010
oct2311064477707
9521373013877
10164430512071
1163809812491
1227a4b542407
13126761239b7
147d5c0d2007
154425901ad1
hex2648d27fc7

164430512071 has 32 divisors (see below), whose sum is σ = 203702957568. Its totient is φ = 129500743680.

The previous prime is 164430512069. The next prime is 164430512083. The reversal of 164430512071 is 170215034461.

It is not a de Polignac number, because 164430512071 - 21 = 164430512069 is a prime.

It is a super-3 number, since 3×1644305120713 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164430512011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12125631 + ... + 12139183.

It is an arithmetic number, because the mean of its divisors is an integer number (6365717424).

Almost surely, 2164430512071 is an apocalyptic number.

164430512071 is a deficient number, since it is larger than the sum of its proper divisors (39272445497).

164430512071 is a wasteful number, since it uses less digits than its factorization.

164430512071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15991.

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 164430512071 in words is "one hundred sixty-four billion, four hundred thirty million, five hundred twelve thousand, seventy-one".

Divisors: 1 7 17 43 119 301 731 2371 5117 13553 16597 40307 94871 101953 230401 282149 582779 713671 1612807 1733201 4079453 9907243 12132407 32134163 69350701 224939141 546280771 1381769009 3823965397 9672383063 23490073153 164430512071