Search a number
-
+
23152869432 = 2332711172943197
BaseRepresentation
bin10101100100000001…
…001100000000111000
32012202120012122000200
4111210001030000320
5334404113310212
614345234202200
71446515100030
oct254401140070
965676178020
1023152869432
119901211540
1245a1a23360
13224c954154
141198d228c0
159079596dc
hex56404c038

23152869432 has 768 divisors, whose sum is σ = 88067865600. Its totient is φ = 5310627840.

The previous prime is 23152869409. The next prime is 23152869433. The reversal of 23152869432 is 23496825132.

23152869432 is a `hidden beast` number, since 2 + 3 + 1 + 528 + 6 + 94 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23152869433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117527158 + ... + 117527354.

It is an arithmetic number, because the mean of its divisors is an integer number (114671700).

Almost surely, 223152869432 is an apocalyptic number.

23152869432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23152869432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44033932800).

23152869432 is an abundant number, since it is smaller than the sum of its proper divisors (64914996168).

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

23152869432 is a wasteful number, since it uses less digits than its factorization.

23152869432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 309 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 23152869432 in words is "twenty-three billion, one hundred fifty-two million, eight hundred sixty-nine thousand, four hundred thirty-two".