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4518998016 = 21231328289
BaseRepresentation
bin1000011010101101…
…00111000000000000
3102122221021212212220
410031112213000000
533223330414031
62024225451040
7216661564221
oct41526470000
912587255786
104518998016
111a09947105
12a614a0a80
135702c8b30
1430c253248
151b6ae2596
hex10d5a7000

4518998016 has 104 divisors (see below), whose sum is σ = 12976509840. Its totient is φ = 1390411776.

The previous prime is 4518998009. The next prime is 4518998017. The reversal of 4518998016 is 6108998154.

It is a tau number, because it is divible by the number of its divisors (104).

It is a super-3 number, since 3×45189980163 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4518998016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4518998017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145600 + ... + 173888.

Almost surely, 24518998016 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 4518998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488254920).

4518998016 is an abundant number, since it is smaller than the sum of its proper divisors (8457511824).

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

4518998016 is a wasteful number, since it uses less digits than its factorization.

4518998016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28329 (or 28307 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The square root of 4518998016 is about 67223.4930362890. The cubic root of 4518998016 is about 1653.2836983596.

The spelling of 4518998016 in words is "four billion, five hundred eighteen million, nine hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 6144 6656 9984 12288 13312 19968 26624 28289 39936 53248 56578 79872 84867 113156 159744 169734 226312 339468 367757 452624 678936 735514 905248 1103271 1357872 1471028 1810496 2206542 2715744 2942056 3620992 4413084 5431488 5884112 7241984 8826168 10862976 11768224 14483968 17652336 21725952 23536448 28967936 35304672 43451904 47072896 57935872 70609344 86903808 94145792 115871744 141218688 173807616 188291584 282437376 347615232 376583168 564874752 753166336 1129749504 1506332672 2259499008 4518998016