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449350352896 = 21452372
BaseRepresentation
bin1101000100111110101…
…11100100000000000000
31120221211222222001022211
412202133113210000000
524330232142243041
6542232333311504
744315214656614
oct6423727440000
91527758861284
10449350352896
11163628617a15
1273106635594
13334b191b8a3
1417a6a505344
15ba4e215481
hex689f5e4000

449350352896 has 45 divisors (see below), whose sum is σ = 898844913169. Its totient is φ = 224632274944.

The previous prime is 449350352851. The next prime is 449350352903. The reversal of 449350352896 is 698253053944.

The square root of 449350352896 is 670336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 384598425600 + 64751927296 = 620160^2 + 254464^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 449350352896.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 85800390 + ... + 85805626.

Almost surely, 2449350352896 is an apocalyptic number.

449350352896 is the 670336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449350352896

449350352896 is an abundant number, since it is smaller than the sum of its proper divisors (449494560273).

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

449350352896 is an frugal number, since it uses more digits than its factorization.

449350352896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10502 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 58.

The spelling of 449350352896 in words is "four hundred forty-nine billion, three hundred fifty million, three hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 5237 8192 10474 16384 20948 41896 83792 167584 335168 670336 1340672 2681344 5362688 10725376 21450752 27426169 42901504 54852338 85803008 109704676 219409352 438818704 877637408 1755274816 3510549632 7021099264 14042198528 28084397056 56168794112 112337588224 224675176448 449350352896