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164613642036 = 22329837617489
BaseRepresentation
bin1001100101001110111…
…1001101011100110100
3120201220012121110001220
42121103233031130310
510144112043021121
6203342241350340
714615164604424
oct2312357153464
9521805543056
10164613642036
11638a3122768
1227aa09383b0
13126a505241c
147d78562484
154436a276c6
hex2653bcd734

164613642036 has 96 divisors (see below), whose sum is σ = 402712732800. Its totient is φ = 52265041920.

The previous prime is 164613642031. The next prime is 164613642059. The reversal of 164613642036 is 630246316461.

164613642036 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1646136420362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164613642031) 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, 21976980 + ... + 21984468.

It is an arithmetic number, because the mean of its divisors is an integer number (4194924300).

Almost surely, 2164613642036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164613642036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201356366400).

164613642036 is an abundant number, since it is smaller than the sum of its proper divisors (238099090764).

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

164613642036 is a wasteful number, since it uses less digits than its factorization.

164613642036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8369 (or 8367 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

Adding to 164613642036 its reverse (630246316461), we get a palindrome (794859958497).

The spelling of 164613642036 in words is "one hundred sixty-four billion, six hundred thirteen million, six hundred forty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 12 29 58 83 87 116 166 174 249 332 348 498 761 996 1522 2283 2407 3044 4566 4814 7221 7489 9132 9628 14442 14978 22069 22467 28884 29956 44138 44934 63163 66207 88276 89868 126326 132414 189489 217181 252652 264828 378978 434362 621587 651543 757956 868724 1243174 1303086 1831727 1864761 2486348 2606172 3663454 3729522 5495181 5699129 7326908 7459044 10990362 11398258 17097387 18026023 21980724 22796516 34194774 36052046 54078069 68389548 72104092 108156138 165274741 216312276 330549482 473027707 495824223 661098964 946055414 991648446 1419083121 1892110828 1983296892 2838166242 5676332484 13717803503 27435607006 41153410509 54871214012 82306821018 164613642036