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4665398868 = 223213891011109
BaseRepresentation
bin1000101100001010…
…00101011001010100
3110001010202211002200
410112011011121110
534023320230433
62050535404500
7223420143654
oct42605053124
913033684080
104665398868
111a84550249
12aa2523730
13594737760
14323882364
151c48b0613
hex116145654

4665398868 has 144 divisors (see below), whose sum is σ = 12981805200. Its totient is φ = 1404057600.

The previous prime is 4665398839. The next prime is 4665398879. The reversal of 4665398868 is 8688935664.

4665398868 is a `hidden beast` number, since 466 + 5 + 3 + 98 + 86 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 697910724 + 3967488144 = 26418^2 + 62988^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4206298 + ... + 4207406.

It is an arithmetic number, because the mean of its divisors is an integer number (90151425).

Almost surely, 24665398868 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 4665398868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6490902600).

4665398868 is an abundant number, since it is smaller than the sum of its proper divisors (8316406332).

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

4665398868 is a wasteful number, since it uses less digits than its factorization.

4665398868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1317 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The square root of 4665398868 is about 68303.7251399951. The cubic root of 4665398868 is about 1670.9479681289.

The spelling of 4665398868 in words is "four billion, six hundred sixty-five million, three hundred ninety-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 89 101 117 156 178 202 234 267 303 356 404 468 534 606 801 909 1068 1109 1157 1212 1313 1602 1818 2218 2314 2626 3204 3327 3471 3636 3939 4436 4628 5252 6654 6942 7878 8989 9981 10413 11817 13308 13884 14417 15756 17978 19962 20826 23634 26967 28834 35956 39924 41652 43251 47268 53934 57668 80901 86502 98701 107868 112009 116857 129753 161802 173004 197402 224018 233714 259506 296103 323604 336027 350571 394804 448036 467428 519012 592206 672054 701142 888309 1008081 1051713 1184412 1283113 1344108 1402284 1456117 1776618 2016162 2103426 2566226 2912234 3553236 3849339 4032324 4206852 4368351 5132452 5824468 7698678 8736702 9968801 11548017 13105053 15397356 17473404 19937602 23096034 26210106 29906403 39875204 46192068 52420212 59812806 89719209 119625612 129594413 179438418 259188826 358876836 388783239 518377652 777566478 1166349717 1555132956 2332699434 4665398868