Search a number
-
+
165168204435 = 3551379132367
BaseRepresentation
bin1001100111010011001…
…0101100101010010011
3120210022212010010200000
42121310302230222103
510201231030020220
6203513251501043
714635010400423
oct2316462545223
9523285103600
10165168204435
11640581666a3
12280165b7783
1312762bcc460
147dcc07c483
15446a56c390
hex2674caca93

165168204435 has 96 divisors (see below), whose sum is σ = 323782717440. Its totient is φ = 80283685248.

The previous prime is 165168204403. The next prime is 165168204511. The reversal of 165168204435 is 534402861561.

165168204435 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 6 + 8 + 204 + 435 = 666.

165168204435 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 165168204435 - 25 = 165168204403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1181622 + ... + 1313988.

It is an arithmetic number, because the mean of its divisors is an integer number (3372736640).

Almost surely, 2165168204435 is an apocalyptic number.

165168204435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

165168204435 is a deficient number, since it is larger than the sum of its proper divisors (158614513005).

165168204435 is a wasteful number, since it uses less digits than its factorization.

165168204435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132479 (or 132467 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 165168204435 in words is "one hundred sixty-five billion, one hundred sixty-eight million, two hundred four thousand, four hundred thirty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 79 81 117 135 195 237 243 351 395 405 585 711 1027 1053 1185 1215 1755 2133 3081 3159 3555 5135 5265 6399 9243 10665 15405 15795 19197 27729 31995 46215 83187 95985 132367 138645 249561 397101 415935 661835 1191303 1247805 1720771 1985505 3573909 5162313 5956515 8603855 10456993 10721727 15486939 17869545 25811565 31370979 32165181 46460817 52284965 53608635 77434695 94112937 135940909 139382451 156854895 160825905 232304085 282338811 407822727 418147353 470564685 679704545 696912255 847016433 1223468181 1411694055 2039113635 2090736765 2541049299 3670404543 4235082165 6117340905 11011213629 12705246495 18352022715 33033640887 55056068145 165168204435