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4385722016 = 2513175311701
BaseRepresentation
bin1000001010110100…
…01100111010100000
3102022122111202120202
410011122030322200
532440221101031
62003105124332
7213453010364
oct40532147240
912278452522
104385722016
111950697955
12a249296a8
1354b8041b0
142d867d2a4
151aa0682cb
hex10568cea0

4385722016 has 96 divisors (see below), whose sum is σ = 10032171408. Its totient is φ = 1869004800.

The previous prime is 4385722009. The next prime is 4385722021. The reversal of 4385722016 is 6102275834.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3114086416 + 1271635600 = 55804^2 + 35660^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368966 + ... + 380666.

Almost surely, 24385722016 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 4385722016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016085704).

4385722016 is an abundant number, since it is smaller than the sum of its proper divisors (5646449392).

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

4385722016 is a wasteful number, since it uses less digits than its factorization.

4385722016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11794 (or 11786 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 4385722016 is about 66224.7840011578. The cubic root of 4385722016 is about 1636.8681574963.

The spelling of 4385722016 in words is "four billion, three hundred eighty-five million, seven hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 53 68 104 106 136 208 212 221 272 416 424 442 544 689 848 884 901 1378 1696 1768 1802 2756 3536 3604 5512 7072 7208 11024 11701 11713 14416 22048 23402 23426 28832 46804 46852 93608 93704 152113 187216 187408 198917 304226 374432 374816 397834 608452 620153 795668 1216904 1240306 1591336 2433808 2480612 2585921 3182672 4867616 4961224 5171842 6365344 8061989 9922448 10343684 10542601 16123978 19844896 20687368 21085202 32247956 41374736 42170404 64495912 82749472 84340808 128991824 137053813 168681616 257983648 274107626 337363232 548215252 1096430504 2192861008 4385722016