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618344443816 = 2311101349199343
BaseRepresentation
bin10001111111110000011…
…00110110111110101000
32012010001111011100121021
420333320030312332220
540112332134200231
61152021415222224
762450103023341
oct10777014667650
92163044140537
10618344443816
11219269355770
129ba0a377974
1346404349ca8
1421cdc7330c8
15111405b3811
hex8ff8336fa8

618344443816 has 64 divisors (see below), whose sum is σ = 1280984544000. Its totient is φ = 277484064000.

The previous prime is 618344443789. The next prime is 618344443831.

618344443816 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3002241 + ... + 3201583.

It is an arithmetic number, because the mean of its divisors is an integer number (20015383500).

Almost surely, 2618344443816 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 618344443816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640492272000).

618344443816 is an abundant number, since it is smaller than the sum of its proper divisors (662640100184).

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

618344443816 is a wasteful number, since it uses less digits than its factorization.

618344443816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199810 (or 199806 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 52.

The spelling of 618344443816 in words is "six hundred eighteen billion, three hundred forty-four million, four hundred forty-three thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 22 44 88 101 202 349 404 698 808 1111 1396 2222 2792 3839 4444 7678 8888 15356 30712 35249 70498 140996 199343 281992 387739 398686 775478 797372 1550956 1594744 2192773 3101912 4385546 8771092 17542184 20133643 40267286 69570707 80534572 139141414 161069144 221470073 278282828 442940146 556565656 765277777 885880292 1530555554 1771760584 3061111108 6122222216 7026641407 14053282814 28106565628 56213131256 77293055477 154586110954 309172221908 618344443816