Search a number
-
+
20151504405 = 345192618779
BaseRepresentation
bin10010110001000111…
…111000111000010101
31221000101121111020000
4102301013320320111
5312232241120110
613131340401513
71312241650464
oct226107707025
957011544200
1020151504405
118600aa957a
123aa4846299
131b91bb2506
14d924829db
157ce1e61c0
hex4b11f8e15

20151504405 has 40 divisors (see below), whose sum is σ = 38024685600. Its totient is φ = 10181808864.

The previous prime is 20151504403. The next prime is 20151504407. The reversal of 20151504405 is 50440515102.

20151504405 is a `hidden beast` number, since 2 + 0 + 151 + 504 + 4 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (20151504403) and next prime (20151504407).

It is not a de Polignac number, because 20151504405 - 21 = 20151504403 is a prime.

It is a super-3 number, since 3×201515044053 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20151504403) 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 39 ways as a sum of consecutive naturals, for example, 1301695 + ... + 1317084.

It is an arithmetic number, because the mean of its divisors is an integer number (950617140).

Almost surely, 220151504405 is an apocalyptic number.

It is an amenable number.

20151504405 is a deficient number, since it is larger than the sum of its proper divisors (17873181195).

20151504405 is a wasteful number, since it uses less digits than its factorization.

20151504405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618815 (or 2618806 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 20151504405 in words is "twenty billion, one hundred fifty-one million, five hundred four thousand, four hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 285 405 513 855 1539 2565 7695 2618779 7856337 13093895 23569011 39281685 49756801 70707033 117845055 149270403 212121099 248784005 353535165 447811209 746352015 1060605495 1343433627 2239056045 4030300881 6717168135 20151504405