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23403630432 = 2537134875501
BaseRepresentation
bin10101110010111101…
…110000111101100000
32020102001001121110010
4111302331300331200
5340412312133212
614430153004520
71455651401460
oct256275607540
966361047403
1023403630432
119a1a814a36
1246519b3740
13228c8a2040
1411c0359ba0
1591e98e03c
hex572f70f60

23403630432 has 192 divisors, whose sum is σ = 75780762624. Its totient is φ = 6158592000.

The previous prime is 23403630407. The next prime is 23403630493.

23403630432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23403630432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4251682 + ... + 4257182.

It is an arithmetic number, because the mean of its divisors is an integer number (394691472).

Almost surely, 223403630432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23403630432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37890381312).

23403630432 is an abundant number, since it is smaller than the sum of its proper divisors (52377132192).

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

23403630432 is a wasteful number, since it uses less digits than its factorization.

23403630432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6021 (or 6013 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

The spelling of 23403630432 in words is "twenty-three billion, four hundred three million, six hundred thirty thousand, four hundred thirty-two".