Search a number
-
+
28435444736 = 21054151329
BaseRepresentation
bin11010011110111000…
…100111010000000000
32201101201022021000212
4122132320213100000
5431213433212421
621021342133252
72024441202146
oct323670472000
981351267025
1028435444736
1111072081556
125616b81228
1328b21bc65a
14153a73d596
15b165cbe5b
hex69ee27400

28435444736 has 44 divisors (see below), whose sum is σ = 56949300420. Its totient is φ = 14191165440.

The previous prime is 28435444711. The next prime is 28435444771. The reversal of 28435444736 is 63744453482.

It can be written as a sum of positive squares in 2 ways, for example, as 18784347136 + 9651097600 = 137056^2 + 98240^2 .

It is a super-2 number, since 2×284354447362 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 528320 + ... + 579648.

Almost surely, 228435444736 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 28435444736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28474650210).

28435444736 is an abundant number, since it is smaller than the sum of its proper divisors (28513855684).

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

28435444736 is an equidigital number, since it uses as much as digits as its factorization.

28435444736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51890 (or 51872 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 50.

The spelling of 28435444736 in words is "twenty-eight billion, four hundred thirty-five million, four hundred forty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 541 1024 1082 2164 4328 8656 17312 34624 51329 69248 102658 138496 205316 276992 410632 553984 821264 1642528 3285056 6570112 13140224 26280448 27768989 52560896 55537978 111075956 222151912 444303824 888607648 1777215296 3554430592 7108861184 14217722368 28435444736