Search a number
-
+
165634425465135 = 351141137412943283
BaseRepresentation
bin100101101010010011000101…
…000101111010100100101111
3210201110111101220021001102120
4211222103011011322210233
5133202223300404341020
61344135223221124023
746613456320415544
oct4552230505724457
9721414356231376
10165634425465135
114885a190104870
12166b1089b59613
13715634a8b8ab3
142cc8a6b246bcb
1514237e8d04740
hex96a4c517a92f

165634425465135 has 128 divisors (see below), whose sum is σ = 298399646684160. Its totient is φ = 77756355379200.

The previous prime is 165634425465101. The next prime is 165634425465193. The reversal of 165634425465135 is 531564524436561.

It is a happy number.

165634425465135 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 165634425465135 - 210 = 165634425464111 is a prime.

It is a super-2 number, since 2×1656344254651352 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3826756204 + ... + 3826799486.

It is an arithmetic number, because the mean of its divisors is an integer number (2331247239720).

Almost surely, 2165634425465135 is an apocalyptic number.

165634425465135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

165634425465135 is a deficient number, since it is larger than the sum of its proper divisors (132765221219025).

165634425465135 is a wasteful number, since it uses less digits than its factorization.

165634425465135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47609.

The product of its digits is 155520000, while the sum is 60.

The spelling of 165634425465135 in words is "one hundred sixty-five trillion, six hundred thirty-four billion, four hundred twenty-five million, four hundred sixty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 11 15 33 41 55 123 137 165 205 411 451 615 685 1353 1507 2055 2255 4129 4521 5617 6765 7535 12387 16851 20645 22605 28085 43283 45419 61787 61935 84255 129849 136257 169289 185361 216415 227095 308935 476113 507867 565673 649245 681285 846445 926805 1428339 1697019 1774603 1862179 2380565 2539335 2828365 5323809 5586537 5929771 6222403 7141695 8485095 8873015 9310895 17789313 18667209 19520633 23192593 26619045 27932685 29648855 31112015 58561899 65227481 69577779 88946565 93336045 97603165 115962965 178715507 195682443 243120611 255118523 292809495 326137405 347888895 536146521 729361833 765355569 893577535 978412215 1215603055 1275592615 1965870577 2674326721 2680732605 3646809165 3826777845 5897611731 7327335787 8022980163 9829352885 13371633605 21982007361 24484024459 29488058655 36636678935 40114900815 73452073377 80600693657 109910036805 122420122295 241802080971 269324269049 367260366885 403003468285 807972807147 1003845002819 1209010404855 1346621345245 3011535008457 4039864035735 5019225014095 11042295031009 15057675042285 33126885093027 55211475155045 165634425465135