Search a number
-
+
164240314425 = 325211194774311
BaseRepresentation
bin1001100011110101111…
…1000101000000111001
3120200221012010102212100
42120331133011000321
510142331010030200
6203241223534013
714603012431635
oct2307537050071
9520835112770
10164240314425
1163721415150
12279b78ba309
13126458bc305
147d40b41dc5
154413d81d00
hex263d7c5039

164240314425 has 144 divisors (see below), whose sum is σ = 344997918720. Its totient is φ = 73834416000.

The previous prime is 164240314423. The next prime is 164240314457. The reversal of 164240314425 is 524413042461.

164240314425 is a `hidden beast` number, since 1 + 64 + 240 + 314 + 42 + 5 = 666.

164240314425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164240314425 - 21 = 164240314423 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164240314425.

It is not an unprimeable number, because it can be changed into a prime (164240314423) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2173020 + ... + 2247330.

It is an arithmetic number, because the mean of its divisors is an integer number (2395818880).

Almost surely, 2164240314425 is an apocalyptic number.

164240314425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164240314425 is an abundant number, since it is smaller than the sum of its proper divisors (180757604295).

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

164240314425 is a wasteful number, since it uses less digits than its factorization.

164240314425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74404 (or 74396 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 164240314425 its reverse (524413042461), we get a palindrome (688653356886).

The spelling of 164240314425 in words is "one hundred sixty-four billion, two hundred forty million, three hundred fourteen thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 15 19 25 33 45 47 55 57 75 95 99 141 165 171 209 225 235 275 285 423 475 495 517 627 705 825 855 893 1045 1175 1425 1551 1881 2115 2475 2585 2679 3135 3525 4275 4465 4653 5225 7755 8037 9405 9823 10575 12925 13395 15675 22325 23265 29469 38775 40185 47025 49115 66975 74311 88407 116325 147345 200925 222933 245575 371555 442035 668799 736725 817421 1114665 1411909 1857775 2210175 2452263 3343995 3492617 4087105 4235727 5573325 7059545 7356789 10477851 12261315 12707181 15530999 16719975 17463085 20435525 21178635 31433553 35297725 36783945 38418787 46592997 52389255 61306575 63535905 66359723 77654995 87315425 105893175 115256361 139778991 157167765 183919725 192093935 199079169 232964985 261946275 317679525 331798615 345769083 388274975 576281805 597237507 698894955 729956953 785838825 960469675 995395845 1164824925 1658993075 1728845415 2189870859 2881409025 2986187535 3494474775 3649784765 4976979225 6569612577 8644227075 10949354295 14930937675 18248923825 32848062885 54746771475 164240314425