Search a number
-
+
23829437501 = 126041189061
BaseRepresentation
bin10110001100010110…
…000101110000111101
32021111201021211221022
4112030112011300331
5342300314000001
614540323313525
71502341606502
oct261426056075
967451254838
1023829437501
11a119107101
12475051b8a5
132329b7ac9c
141220b1b4a9
1594704e11b
hex58c585c3d

23829437501 has 4 divisors (see below), whose sum is σ = 23829752604. Its totient is φ = 23829122400.

The previous prime is 23829437453. The next prime is 23829437503. The reversal of 23829437501 is 10573492832.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 16919505625 + 6909931876 = 130075^2 + 83126^2 .

It is a cyclic number.

It is not a de Polignac number, because 23829437501 - 214 = 23829421117 is a prime.

It is a super-2 number, since 2×238294375012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23829437503) 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 3 ways as a sum of consecutive naturals, for example, 31511 + ... + 220571.

It is an arithmetic number, because the mean of its divisors is an integer number (5957438151).

It is a Poulet number, since it divides 223829437500-1.

Almost surely, 223829437501 is an apocalyptic number.

23829437501 is the 126041-st pentagonal number.

It is an amenable number.

23829437501 is a deficient number, since it is larger than the sum of its proper divisors (315103).

23829437501 is a wasteful number, since it uses less digits than its factorization.

23829437501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315102.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 23829437501 in words is "twenty-three billion, eight hundred twenty-nine million, four hundred thirty-seven thousand, five hundred one".

Divisors: 1 126041 189061 23829437501