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11795914881 = 324128832
BaseRepresentation
bin10101111110001011…
…10110000010000001
31010110002002120012100
422333011312002001
5143124223234011
65230255221013
7565212423252
oct127705660201
933402076170
1011795914881
115003539493
122352517769
13115caa9cba
147dc894b29
154908aad56
hex2bf176081

11795914881 has 27 divisors (see below), whose sum is σ = 17484054627. Its totient is φ = 7663451040.

The previous prime is 11795914861. The next prime is 11795914891. The reversal of 11795914881 is 18841959711.

The square root of 11795914881 is 108609.

It is a perfect power (a square), and thus also a powerful number.

11795914881 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 591 + 48 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 568393281 + 11227521600 = 23841^2 + 105960^2 .

It is not a de Polignac number, because 11795914881 - 215 = 11795882113 is a prime.

It is a super-2 number, since 2×117959148812 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11795914861) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13358466 + ... + 13359348.

Almost surely, 211795914881 is an apocalyptic number.

11795914881 is the 108609-th square number.

11795914881 is the 54305-th centered octagonal number.

It is an amenable number.

11795914881 is a deficient number, since it is larger than the sum of its proper divisors (5688139746).

11795914881 is an frugal number, since it uses more digits than its factorization.

11795914881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 927 counting only the distinct ones).

The product of its digits is 725760, while the sum is 54.

The spelling of 11795914881 in words is "eleven billion, seven hundred ninety-five million, nine hundred fourteen thousand, eight hundred eighty-one".

Divisors: 1 3 9 41 123 369 883 1681 2649 5043 7947 15129 36203 108609 325827 779689 1484323 2339067 4452969 7017201 13358907 31967249 95901747 287705241 1310657209 3931971627 11795914881