Search a number
-
+
165325240063224 = 23323159221278497
BaseRepresentation
bin100101100101110011001000…
…001101001101010011111000
3210200100221100020101021001200
4211211303020031031103320
5133132142042424010344
61343341211121014200
746552232366024613
oct4545631015152370
9720327306337050
10165325240063224
1148750049aa511a
1216661180484360
137133145a94337
142cb7ada22b17a
15141a750045069
hex965cc834d4f8

165325240063224 has 144 divisors (see below), whose sum is σ = 470166287248320. Its totient is φ = 52426809584640.

The previous prime is 165325240063223. The next prime is 165325240063237. The reversal of 165325240063224 is 422360042523561.

165325240063224 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 2 + 5 + 2 + 4 + 0 + 0 + 632 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 165325240063224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165325240063223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2869657 + ... + 18408840.

Almost surely, 2165325240063224 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 165325240063224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235083143624160).

165325240063224 is an abundant number, since it is smaller than the sum of its proper divisors (304841047185096).

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

165325240063224 is a wasteful number, since it uses less digits than its factorization.

165325240063224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21278658 (or 21278592 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 165325240063224 its reverse (422360042523561), we get a palindrome (587685282586785).

The spelling of 165325240063224 in words is "one hundred sixty-five trillion, three hundred twenty-five billion, two hundred forty million, sixty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 59 62 72 93 118 124 177 186 236 248 279 354 372 472 531 558 708 744 1062 1116 1416 1829 2124 2232 3481 3658 4248 5487 6962 7316 10443 10974 13924 14632 16461 20886 21948 27848 31329 32922 41772 43896 62658 65844 83544 107911 125316 131688 215822 250632 323733 431644 647466 863288 971199 1294932 1942398 2589864 3884796 7769592 21278497 42556994 63835491 85113988 127670982 170227976 191506473 255341964 383012946 510683928 659633407 766025892 1255431323 1319266814 1532051784 1978900221 2510862646 2638533628 3766293969 3957800442 5021725292 5277067256 5936700663 7532587938 7915600884 10043450584 11298881907 11873401326 15065175876 15831201768 22597763814 23746802652 30130351752 38918371013 45195527628 47493605304 74070448057 77836742026 90391055256 116755113039 148140896114 155673484052 222211344171 233510226078 296281792228 311346968104 350265339117 444422688342 467020452156 592563584456 666634032513 700530678234 888845376684 934040904312 1333268065026 1401061356468 1777690753368 2296183889767 2666536130052 2802122712936 4592367779534 5333072260104 6888551669301 9184735559068 13777103338602 18369471118136 20665655007903 27554206677204 41331310015806 55108413354408 82662620031612 165325240063224