Search a number
-
+
20283499408 = 2417533893617
BaseRepresentation
bin10010111000111111…
…011010001110010000
31221100120222112022211
4102320333122032100
5313020033440113
613152413441504
71315433620534
oct227077321620
957316875284
1020283499408
118669563357
123b20aa0294
131bb3349073
14da5c01bc4
157daabab3d
hex4b8fda390

20283499408 has 80 divisors (see below), whose sum is σ = 42516854640. Its totient is φ = 9338421248.

The previous prime is 20283499387. The next prime is 20283499409. The reversal of 20283499408 is 80499438202.

It can be written as a sum of positive squares in 8 ways, for example, as 1093492624 + 19190006784 = 33068^2 + 138528^2 .

It is a super-2 number, since 2×202834994082 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20283499409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5606016 + ... + 5609632.

It is an arithmetic number, because the mean of its divisors is an integer number (531460683).

Almost surely, 220283499408 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 20283499408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21258427320).

20283499408 is an abundant number, since it is smaller than the sum of its proper divisors (22233355232).

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

20283499408 is a wasteful number, since it uses less digits than its factorization.

20283499408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 20283499408 in words is "twenty billion, two hundred eighty-three million, four hundred ninety-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 389 424 778 848 901 1556 1802 3112 3604 3617 6224 6613 7208 7234 13226 14416 14468 20617 26452 28936 41234 52904 57872 61489 82468 105808 122978 164936 191701 245956 329872 350489 383402 491912 700978 766804 983824 1401956 1407013 1533608 2803912 2814026 3067216 3258917 5607824 5628052 6517834 11256104 13035668 22512208 23919221 26071336 47838442 52142672 74571689 95676884 149143378 191353768 298286756 382707536 596573512 1193147024 1267718713 2535437426 5070874852 10141749704 20283499408