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164060306130231 = 357432929776561
BaseRepresentation
bin100101010011011001000100…
…010001001100010100110111
3210111220000022211000120200000
4211103121010101030110313
5133000431001332131411
61340532133020522343
746361652220012560
oct4523310421142467
9714800284016600
10164060306130231
11483026488490a5
1216497ba06b03b3
137070a887b3194
142c727bdc69167
1513e78b98a0956
hex95364444c537

164060306130231 has 96 divisors (see below), whose sum is σ = 287405643452928. Its totient is φ = 91564221450240.

The previous prime is 164060306130163. The next prime is 164060306130239. The reversal of 164060306130231 is 132031603060461.

164060306130231 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 6 + 0 + 3 + 0 + 613 + 0 + 2 + 31 = 666.

It is not a de Polignac number, because 164060306130231 - 215 = 164060306097463 is a prime.

It is a super-3 number, since 3×1640603061302313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164060306130239) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2142832191 + ... + 2142908751.

It is an arithmetic number, because the mean of its divisors is an integer number (2993808785968).

Almost surely, 2164060306130231 is an apocalyptic number.

164060306130231 is a deficient number, since it is larger than the sum of its proper divisors (123345337322697).

164060306130231 is an equidigital number, since it uses as much as digits as its factorization.

164060306130231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105923 (or 105911 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 164060306130231 its reverse (132031603060461), we get a palindrome (296091909190692).

The spelling of 164060306130231 in words is "one hundred sixty-four trillion, sixty billion, three hundred six million, one hundred thirty thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 43 63 81 129 189 243 301 387 567 903 1161 1701 2709 3483 8127 10449 24381 29297 73143 76561 87891 205079 229683 263673 535927 615237 689049 791019 1259771 1607781 1845711 2067147 2373057 3292123 3779313 4823343 5537133 6201441 7119171 8818397 9876369 11337939 14470029 16611399 18604323 23044861 26455191 29629107 34013817 43410087 49834197 69134583 79365573 88887321 102041451 130230261 207403749 238096719 266661963 306124353 622211247 714290157 799985889 1866633741 2142870471 2243007617 5599901223 6729022851 15701053319 20187068553 47103159957 60561205659 96449327531 141309479871 181683616977 289347982593 423928439613 545050850931 675145292717 868043947779 1271785318839 2025435878151 2604131843337 3815355956517 6076307634453 7812395530011 18228922903359 23437186590033 54686768710077 164060306130231