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164342632014 = 232112861290113
BaseRepresentation
bin1001100100001110010…
…1011000111001001110
3120201012022122201012200
42121003211120321032
510143033203211024
6203255320542330
714605364215641
oct2310345307116
9521168581180
10164342632014
1163774149940
1227a260219a6
1312660b64972
147d50577a58
15441cd432c9
hex2643958e4e

164342632014 has 48 divisors (see below), whose sum is σ = 388583333424. Its totient is φ = 49783219200.

The previous prime is 164342631997. The next prime is 164342632031. The reversal of 164342632014 is 410236243461.

164342632014 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 4 + 2 + 632 + 0 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (164342631997) and next prime (164342632031).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 164342632014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421422 + ... + 711534.

It is an arithmetic number, because the mean of its divisors is an integer number (8095486113).

Almost surely, 2164342632014 is an apocalyptic number.

164342632014 is an abundant number, since it is smaller than the sum of its proper divisors (224240701410).

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

164342632014 is a wasteful number, since it uses less digits than its factorization.

164342632014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292993 (or 292990 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 164342632014 its reverse (410236243461), we get a palindrome (574578875475).

The spelling of 164342632014 in words is "one hundred sixty-four billion, three hundred forty-two million, six hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2861 5722 8583 17166 25749 31471 51498 62942 94413 188826 283239 290113 566478 580226 870339 1740678 2611017 3191243 5222034 6382486 9573729 19147458 28721187 57442374 830013293 1660026586 2490039879 4980079758 7470119637 9130146223 14940239274 18260292446 27390438669 54780877338 82171316007 164342632014