Search a number
-
+
11386866564 = 2232431733879
BaseRepresentation
bin10101001101011010…
…11100101110000100
31002101120101202101200
422212231130232010
5141310014212224
65121524022500
7552114524463
oct124655345604
932346352350
1011386866564
114913653427
122259531a30
1310c611b088
147a04169da
15469a0b5c9
hex2a6b5cb84

11386866564 has 36 divisors (see below), whose sum is σ = 28850290560. Its totient is φ = 3786810480.

The previous prime is 11386866563. The next prime is 11386866607. The reversal of 11386866564 is 46566868311.

11386866564 is a `hidden beast` number, since 1 + 13 + 8 + 6 + 8 + 66 + 564 = 666.

11386866564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11386866564.

It is not an unprimeable number, because it can be changed into a prime (11386866563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351424 + ... + 382455.

It is an arithmetic number, because the mean of its divisors is an integer number (801396960).

Almost surely, 211386866564 is an apocalyptic number.

It is an amenable number.

11386866564 is an abundant number, since it is smaller than the sum of its proper divisors (17463423996).

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

11386866564 is a wasteful number, since it uses less digits than its factorization.

11386866564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734320 (or 734315 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 11386866564 in words is "eleven billion, three hundred eighty-six million, eight hundred sixty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 431 862 1293 1724 2586 3879 5172 7758 15516 733879 1467758 2201637 2935516 4403274 6604911 8806548 13209822 26419644 316301849 632603698 948905547 1265207396 1897811094 2846716641 3795622188 5693433282 11386866564