Search a number
-
+
668027838465 = 35513371143071
BaseRepresentation
bin10011011100010011000…
…11111110000000000001
32100212022000020022100000
421232021203332000001
541421110111312330
61230515430550213
766156231636411
oct11561143760001
92325260208300
10668027838465
112383443324a9
12a9575208369
134acc1626970
1424492daa641
151259c269560
hex9b898fe001

668027838465 has 96 divisors (see below), whose sum is σ = 1328121639936. Its totient is φ = 319986443520.

The previous prime is 668027838437. The next prime is 668027838529. The reversal of 668027838465 is 564838720866.

668027838465 is a `hidden beast` number, since 66 + 80 + 2 + 7 + 8 + 38 + 465 = 666.

It is not a de Polignac number, because 668027838465 - 27 = 668027838337 is a prime.

It is a super-2 number, since 2×6680278384652 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12880 + ... + 1155950.

It is an arithmetic number, because the mean of its divisors is an integer number (13834600416).

Almost surely, 2668027838465 is an apocalyptic number.

668027838465 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

668027838465 is a deficient number, since it is larger than the sum of its proper divisors (660093801471).

668027838465 is a wasteful number, since it uses less digits than its factorization.

668027838465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143141 (or 1143129 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 668027838465 in words is "six hundred sixty-eight billion, twenty-seven million, eight hundred thirty-eight thousand, four hundred sixty-five".

Divisors: 1 3 5 9 13 15 27 37 39 45 65 81 111 117 135 185 195 243 333 351 405 481 555 585 999 1053 1215 1443 1665 1755 2405 2997 3159 4329 4995 5265 7215 8991 12987 14985 15795 21645 38961 44955 64935 116883 194805 584415 1143071 3429213 5715355 10287639 14859923 17146065 30862917 42293627 44579769 51438195 74299615 92588751 126880881 133739307 154314585 211468135 222898845 277766253 380642643 401217921 462943755 549817151 634404405 668696535 1141927929 1203653763 1388831265 1649451453 1903213215 2006089605 2749085755 3425783787 3610961289 4948354359 5709639645 6018268815 8247257265 10277351361 14845063077 17128918935 18054806445 24741771795 44535189231 51386756805 74225315385 133605567693 222675946155 668027838465