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16339439648 = 257215766373
BaseRepresentation
bin11110011011110100…
…00001000000100000
31120011201112112110102
433031322001000200
5231430344032043
611301202521532
71115622642200
oct171572010040
946151475412
1016339439648
116a25207934
1232000662a8
1317051b27ac
14b10090400
156596e56b8
hex3cde81020

16339439648 has 72 divisors (see below), whose sum is σ = 37659147372. Its totient is φ = 6957909504.

The previous prime is 16339439647. The next prime is 16339439659. The reversal of 16339439648 is 84693493361.

It can be written as a sum of positive squares in 2 ways, for example, as 15588021904 + 751417744 = 124852^2 + 27412^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 16339439593 and 16339439602.

It is not an unprimeable number, because it can be changed into a prime (16339439647) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 212990 + ... + 279362.

Almost surely, 216339439648 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 16339439648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829573686).

16339439648 is an abundant number, since it is smaller than the sum of its proper divisors (21319707724).

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

16339439648 is a wasteful number, since it uses less digits than its factorization.

16339439648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66554 (or 66539 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 56.

The spelling of 16339439648 in words is "sixteen billion, three hundred thirty-nine million, four hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 157 196 224 314 392 628 784 1099 1256 1568 2198 2512 4396 5024 7693 8792 15386 17584 30772 35168 61544 66373 123088 132746 246176 265492 464611 530984 929222 1061968 1858444 2123936 3252277 3716888 6504554 7433776 10420561 13009108 14867552 20841122 26018216 41682244 52036432 72943927 83364488 104072864 145887854 166728976 291775708 333457952 510607489 583551416 1021214978 1167102832 2042429956 2334205664 4084859912 8169719824 16339439648