Search a number
-
+
338818028020272 = 243218671260258689
BaseRepresentation
bin100110100001001110011100…
…0001101000010001000110000
31122102122200112221001210210200
41031002130320031002020300
5323402143310133122042
63200334504150555200
7131236536405504453
oct11502347015021060
91572580487053720
10338818028020272
1198a59a11938a09
1232001254068b00
1311709531375ca8
145d94c46c2949a
15292867b430c4c
hex1342738342230

338818028020272 has 60 divisors (see below), whose sum is σ = 948727782866760. Its totient is φ = 112878850166784.

The previous prime is 338818028020247. The next prime is 338818028020301. The reversal of 338818028020272 is 272020820818833.

338818028020272 is a `hidden beast` number, since 3 + 3 + 8 + 81 + 80 + 280 + 202 + 7 + 2 = 666.

It is a super-2 number, since 2×3388180280202722 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 629860497 + ... + 630398192.

It is an arithmetic number, because the mean of its divisors is an integer number (15812129714446).

Almost surely, 2338818028020272 is an apocalyptic number.

It is an amenable number.

338818028020272 is an abundant number, since it is smaller than the sum of its proper divisors (609909754846488).

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

338818028020272 is a wasteful number, since it uses less digits than its factorization.

338818028020272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260260570 (or 1260260561 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 338818028020272 in words is "three hundred thirty-eight trillion, eight hundred eighteen billion, twenty-eight million, twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1867 3734 5601 7468 11202 14936 16803 22404 29872 33606 44808 67212 89616 134424 268848 1260258689 2520517378 3780776067 5041034756 7561552134 10082069512 11342328201 15123104268 20164139024 22684656402 30246208536 45369312804 60492417072 90738625608 181477251216 2352902972363 4705805944726 7058708917089 9411611889452 14117417834178 18823223778904 21176126751267 28234835668356 37646447557808 42352253502534 56469671336712 84704507005068 112939342673424 169409014010136 338818028020272