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449458182272 = 2711253872
BaseRepresentation
bin1101000101001011100…
…10111001100010000000
31120222010111212100102102
412202211302321202000
524330442243313042
6542251144405532
744320664341151
oct6424562714200
91528114770372
10449458182272
11163683476800
12731367768a8
13334cb073c58
1417a7a973928
15ba58914b32
hex68a5cb9880

449458182272 has 72 divisors (see below), whose sum is σ = 984388199655. Its totient is φ = 204261249280.

The previous prime is 449458182247. The next prime is 449458182301. The reversal of 449458182272 is 272281854944.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 224729091136 + 224729091136 = 474056^2 + 474056^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=474056.

It is a super-2 number, since 2×4494581822722 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83431163 + ... + 83436549.

Almost surely, 2449458182272 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 449458182272

449458182272 is an abundant number, since it is smaller than the sum of its proper divisors (534930017383).

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

449458182272 is an frugal number, since it uses more digits than its factorization.

449458182272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10810 (or 5400 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 56.

The spelling of 449458182272 in words is "four hundred forty-nine billion, four hundred fifty-eight million, one hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 5387 7744 10774 15488 21548 43096 59257 86192 118514 172384 237028 344768 474056 651827 689536 948112 1303654 1896224 2607308 3792448 5214616 7584896 10429232 20858464 29019769 41716928 58039538 83433856 116079076 232158152 319217459 464316304 638434918 928632608 1276869836 1857265216 2553739672 3511392049 3714530432 5107479344 7022784098 10214958688 14045568196 20429917376 28091136392 40859834752 56182272784 112364545568 224729091136 449458182272