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10450448384 = 21219912821
BaseRepresentation
bin10011011101110010…
…10011000000000000
3222222022100210010212
421232321103000000
5132400303322014
64444553213252
7516654226355
oct115671230000
928868323125
1010450448384
114483007602
122037a01228
13ca711328c
14711cda62c
154126d923e
hex26ee53000

10450448384 has 52 divisors (see below), whose sum is σ = 21005000400. Its totient is φ = 5198561280.

The previous prime is 10450448377. The next prime is 10450448389. The reversal of 10450448384 is 48384405401.

It is a super-2 number, since 2×104504483842 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10450448389) 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 3 ways as a sum of consecutive naturals, for example, 808694 + ... + 821514.

Almost surely, 210450448384 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 10450448384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10502500200).

10450448384 is an abundant number, since it is smaller than the sum of its proper divisors (10554552016).

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

10450448384 is an equidigital number, since it uses as much as digits as its factorization.

10450448384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13044 (or 13022 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The spelling of 10450448384 in words is "ten billion, four hundred fifty million, four hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 199 256 398 512 796 1024 1592 2048 3184 4096 6368 12736 12821 25472 25642 50944 51284 101888 102568 203776 205136 407552 410272 815104 820544 1641088 2551379 3282176 5102758 6564352 10205516 13128704 20411032 26257408 40822064 52514816 81644128 163288256 326576512 653153024 1306306048 2612612096 5225224192 10450448384