Search a number
-
+
164664645030 = 232517107623951
BaseRepresentation
bin1001100101011011000…
…1110001010110100110
3120202000202120200000200
42121112301301112212
510144213122120110
6203351302451330
714616354250254
oct2312661612646
9522022520020
10164664645030
1163919998aa6
1227ab5a33b46
13126b279c202
147d8123b5d4
15443b24e6c0
hex2656c715a6

164664645030 has 48 divisors (see below), whose sum is σ = 453312085824. Its totient is φ = 41327596800.

The previous prime is 164664645029. The next prime is 164664645049. The reversal of 164664645030 is 30546466461.

164664645030 is a `hidden beast` number, since 164 + 6 + 6 + 4 + 6 + 450 + 30 = 666.

164664645030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1646646450303 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 53810446 + ... + 53813505.

It is an arithmetic number, because the mean of its divisors is an integer number (9444001788).

Almost surely, 2164664645030 is an apocalyptic number.

164664645030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164664645030 is an abundant number, since it is smaller than the sum of its proper divisors (288647440794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164664645030 is a wasteful number, since it uses less digits than its factorization.

164664645030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107623981 (or 107623978 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 164664645030 in words is "one hundred sixty-four billion, six hundred sixty-four million, six hundred forty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 107623951 215247902 322871853 538119755 645743706 968615559 1076239510 1614359265 1829607167 1937231118 3228718530 3659214334 4843077795 5488821501 9148035835 9686155590 10977643002 16466464503 18296071670 27444107505 32932929006 54888215010 82332322515 164664645030