Search a number
-
+
28414377018 = 23430721861
BaseRepresentation
bin11010011101101000…
…001111110000111010
32201100020122220120000
4122131220033300322
5431143040031033
621015310413430
72024064135216
oct323550176072
981306586500
1028414377018
11110611a2015
12560bb01276
1328aaa24251
141537a17946
15b14819a13
hex69da0fc3a

28414377018 has 60 divisors (see below), whose sum is σ = 63911643642. Its totient is φ = 9435534480.

The previous prime is 28414376959. The next prime is 28414377023. The reversal of 28414377018 is 81077341482.

It can be written as a sum of positive squares in only one way, i.e., 28406742849 + 7634169 = 168543^2 + 2763^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15267408 + ... + 15269268.

Almost surely, 228414377018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28414377018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31955821821).

28414377018 is an abundant number, since it is smaller than the sum of its proper divisors (35497266624).

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

28414377018 is an equidigital number, since it uses as much as digits as its factorization.

28414377018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 28414377018 in words is "twenty-eight billion, four hundred fourteen million, three hundred seventy-seven thousand, eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 307 614 921 1842 1861 2763 3722 5526 5583 8289 11166 16578 16749 24867 33498 49734 50247 94249 100494 150741 188498 282747 301482 565494 571327 848241 1142654 1696482 1713981 2544723 3427962 5089446 5141943 7634169 10283886 15268338 15425829 30851658 46277487 92554974 175397389 350794778 526192167 1052384334 1578576501 3157153002 4735729503 9471459006 14207188509 28414377018