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4416740016 = 2431328125189
BaseRepresentation
bin1000001110100001…
…00001101010110000
3102101210212122021120
410013100201222300
533021141140031
62010134022240
7214310446023
oct40720415260
912353778246
104416740016
111967153167
12a331a7980
13555074640
142dc8351ba
151acb43a96
hex107421ab0

4416740016 has 80 divisors (see below), whose sum is σ = 12331814880. Its totient is φ = 1354106880.

The previous prime is 4416739939. The next prime is 4416740017. The reversal of 4416740016 is 6100476144.

It is not an unprimeable number, because it can be changed into a prime (4416740017) 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, 162750 + ... + 187938.

It is an arithmetic number, because the mean of its divisors is an integer number (154147686).

Almost surely, 24416740016 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 4416740016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165907440).

4416740016 is an abundant number, since it is smaller than the sum of its proper divisors (7915074864).

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

4416740016 is a wasteful number, since it uses less digits than its factorization.

4416740016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25494 (or 25488 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 4416740016 is about 66458.5586361907. The cubic root of 4416740016 is about 1640.7180100115.

The spelling of 4416740016 in words is "four billion, four hundred sixteen million, seven hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 281 312 562 624 843 1124 1686 2248 3372 3653 4496 6744 7306 10959 13488 14612 21918 25189 29224 43836 50378 58448 75567 87672 100756 151134 175344 201512 302268 327457 403024 604536 654914 982371 1209072 1309828 1964742 2619656 3929484 5239312 7078109 7858968 14156218 15717936 21234327 28312436 42468654 56624872 84937308 92015417 113249744 169874616 184030834 276046251 339749232 368061668 552092502 736123336 1104185004 1472246672 2208370008 4416740016