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4284516336 = 243792774079
BaseRepresentation
bin1111111101100000…
…1000011111110000
3102001121001222111020
43333120020133300
532233314010321
61545052015440
7211113534162
oct37730103760
912047058436
104284516336
1118a95525a1
129b6a61580
1353385a989
142c9056932
151a12264c6
hexff6087f0

4284516336 has 80 divisors (see below), whose sum is σ = 11251660800. Its totient is φ = 1404658944.

The previous prime is 4284516331. The next prime is 4284516373. The reversal of 4284516336 is 6336154824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284516331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048345 + ... + 1052423.

It is an arithmetic number, because the mean of its divisors is an integer number (140645760).

Almost surely, 24284516336 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 4284516336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625830400).

4284516336 is an abundant number, since it is smaller than the sum of its proper divisors (6967144464).

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

4284516336 is a wasteful number, since it uses less digits than its factorization.

4284516336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446 (or 4440 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 4284516336 is about 65456.2169392641. The cubic root of 4284516336 is about 1624.1791623704.

The spelling of 4284516336 in words is "four billion, two hundred eighty-four million, five hundred sixteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 277 316 474 554 632 831 948 1108 1264 1662 1896 2216 3324 3792 4079 4432 6648 8158 12237 13296 16316 21883 24474 32632 43766 48948 65264 65649 87532 97896 131298 175064 195792 262596 322241 350128 525192 644482 966723 1050384 1129883 1288964 1933446 2259766 2577928 3389649 3866892 4519532 5155856 6779298 7733784 9039064 13558596 15467568 18078128 27117192 54234384 89260757 178521514 267782271 357043028 535564542 714086056 1071129084 1428172112 2142258168 4284516336