Search a number
-
+
3563426808016 = 241741881362693
BaseRepresentation
bin110011110110101100110…
…010100000000011010000
3110121122211100012200022021
4303312230302200003100
5431340344230324031
611325003215221224
7515310016051165
oct63665462400320
913548740180267
103563426808016
111154271597879
12496748517814
131cb050358aba
14c4683b5806c
1562a5d87a511
hex33dacca00d0

3563426808016 has 80 divisors (see below), whose sum is σ = 7497085187088. Its totient is φ = 1634145075200.

The previous prime is 3563426807959. The next prime is 3563426808077. The reversal of 3563426808016 is 6108086243653.

It can be written as a sum of positive squares in 8 ways, for example, as 10201808016 + 3553225000000 = 101004^2 + 1885000^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9643566 + ... + 10006258.

Almost surely, 23563426808016 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 3563426808016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748542593544).

3563426808016 is an abundant number, since it is smaller than the sum of its proper divisors (3933658379072).

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

3563426808016 is a wasteful number, since it uses less digits than its factorization.

3563426808016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363640 (or 363634 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 3563426808016 in words is "three trillion, five hundred sixty-three billion, four hundred twenty-six million, eight hundred eight thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 881 1394 1762 2788 3524 5576 7048 11152 14096 14977 29954 36121 59908 72242 119816 144484 239632 288968 362693 577936 614057 725386 1228114 1450772 2456228 2901544 4912456 5803088 6165781 9824912 12331562 14870413 24663124 29740826 49326248 59481652 98652496 118963304 237926608 252797021 319532533 505594042 639065066 1011188084 1278130132 2022376168 2556260264 4044752336 5112520528 5432053061 10864106122 13100833853 21728212244 26201667706 43456424488 52403335412 86912848976 104806670824 209613341648 222714175501 445428351002 890856702004 1781713404008 3563426808016