Search a number
-
+
11511683807408 = 241742322366939
BaseRepresentation
bin1010011110000100010111…
…0100101111100010110000
31111202111200001000022012122
42213201011310233202300
53002101412023314113
640252221115213412
72265456153606311
oct247410564574260
944674601008178
1011511683807408
113739094444894
12135b05b747268
13656716059425
142bb2503ca608
1514e6a2e01408
hexa7845d2f8b0

11511683807408 has 20 divisors (see below), whose sum is σ = 23615880752520. Its totient is φ = 5417262968064.

The previous prime is 11511683807401. The next prime is 11511683807411. The reversal of 11511683807408 is 80470838611511.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11511683807408.

It is not an unprimeable number, because it can be changed into a prime (11511683807401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21161183198 + ... + 21161183741.

It is an arithmetic number, because the mean of its divisors is an integer number (1180794037626).

Almost surely, 211511683807408 is an apocalyptic number.

It is an amenable number.

11511683807408 is an abundant number, since it is smaller than the sum of its proper divisors (12104196945112).

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

11511683807408 is a wasteful number, since it uses less digits than its factorization.

11511683807408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42322366964 (or 42322366958 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 53.

The spelling of 11511683807408 in words is "eleven trillion, five hundred eleven billion, six hundred eighty-three million, eight hundred seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 42322366939 84644733878 169289467756 338578935512 677157871024 719480237963 1438960475926 2877920951852 5755841903704 11511683807408