Search a number
-
+
13801968594 = 23485197337
BaseRepresentation
bin11001101101010100…
…10101001111010010
31022121212211122120000
430312222111033102
5211231300443334
610201320030430
7666011540331
oct146652251722
938555748500
1013801968594
115942940317
122812302416
1313bc59392b
1494d087d18
1555ba67299
hex336a953d2

13801968594 has 20 divisors (see below), whose sum is σ = 30926633694. Its totient is φ = 4600656144.

The previous prime is 13801968563. The next prime is 13801968613. The reversal of 13801968594 is 49586910831.

13801968594 is a `hidden beast` number, since 1 + 38 + 0 + 19 + 6 + 8 + 594 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12873852369 + 928116225 = 113463^2 + 30465^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13801968594.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42598507 + ... + 42598830.

Almost surely, 213801968594 is an apocalyptic number.

13801968594 is an abundant number, since it is smaller than the sum of its proper divisors (17124665100).

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

13801968594 is an equidigital number, since it uses as much as digits as its factorization.

13801968594 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85197351 (or 85197342 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 13801968594 in words is "thirteen billion, eight hundred one million, nine hundred sixty-eight thousand, five hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 85197337 170394674 255592011 511184022 766776033 1533552066 2300328099 4600656198 6900984297 13801968594