Search a number
-
+
11540204122544 = 2423186716796599
BaseRepresentation
bin1010011111101110100111…
…0001000111000110110000
31111212020021200000102112122
42213323221301013012300
53003033314223410134
640313255132413412
72300516005361156
oct247735161070660
944766250012478
1011540204122544
11374a19a413769
12136469b017268
1365930c9c2c46
142bc7980dd3d6
151502c1b9502e
hexa7ee9c471b0

11540204122544 has 40 divisors (see below), whose sum is σ = 23343780307200. Its totient is φ = 5516271528768.

The previous prime is 11540204122519. The next prime is 11540204122547. The reversal of 11540204122544 is 44522140204511.

It is a happy number.

It is a super-2 number, since 2×115402041225442 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11540204122547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7711244 + ... + 9085355.

It is an arithmetic number, because the mean of its divisors is an integer number (583594507680).

Almost surely, 211540204122544 is an apocalyptic number.

It is an amenable number.

11540204122544 is an abundant number, since it is smaller than the sum of its proper divisors (11803576184656).

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

11540204122544 is a wasteful number, since it uses less digits than its factorization.

11540204122544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16798497 (or 16798491 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

The spelling of 11540204122544 in words is "eleven trillion, five hundred forty billion, two hundred four million, one hundred twenty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 1867 3734 7468 14936 29872 42941 85882 171764 343528 687056 16796599 33593198 67186396 134372792 268745584 386321777 772643554 1545287108 3090574216 6181148432 31359250333 62718500666 125437001332 250874002664 501748005328 721262757659 1442525515318 2885051030636 5770102061272 11540204122544