Search a number
-
+
19500560136 = 2334120125057
BaseRepresentation
bin10010001010010100…
…101110111100001000
31212100000202002120000
4102022110232330020
5304414120411021
612543004403000
71260146012001
oct221224567410
955300662500
1019500560136
1182a7615502
123942846460
131aba08a7a5
14d2dc381a8
15791eb3b26
hex48a52ef08

19500560136 has 80 divisors (see below), whose sum is σ = 54667284540. Its totient is φ = 6494515200.

The previous prime is 19500560129. The next prime is 19500560197. The reversal of 19500560136 is 63106500591.

19500560136 is a `hidden beast` number, since 1 + 95 + 0 + 0 + 560 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14740388100 + 4760172036 = 121410^2 + 68994^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 19500560136.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 765720 + ... + 790776.

Almost surely, 219500560136 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 19500560136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27333642270).

19500560136 is an abundant number, since it is smaller than the sum of its proper divisors (35166724404).

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

19500560136 is a wasteful number, since it uses less digits than its factorization.

19500560136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26276 (or 26263 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 19500560136 in words is "nineteen billion, five hundred million, five hundred sixty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1201 2402 3603 4804 7206 9608 10809 14412 21618 25057 28824 32427 43236 50114 64854 75171 86472 97281 100228 129708 150342 194562 200456 225513 259416 300684 389124 451026 601368 676539 778248 902052 1353078 1804104 2029617 2706156 4059234 5412312 8118468 16236936 30093457 60186914 90280371 120373828 180560742 240747656 270841113 361121484 541682226 722242968 812523339 1083364452 1625046678 2166728904 2437570017 3250093356 4875140034 6500186712 9750280068 19500560136