Search a number
-
+
23551513440 = 25357133117393
BaseRepresentation
bin10101111011110001…
…111001001101100000
32020210100022211210120
4111323301321031200
5341213141412230
614452554400240
71462425363330
oct257361711540
966710284716
1023551513440
119a962406a4
124693430080
1322b440c490
1411d5c530c0
1592c951310
hex57bc79360

23551513440 has 384 divisors, whose sum is σ = 94258225152. Its totient is φ = 4808540160.

The previous prime is 23551513421. The next prime is 23551513451. The reversal of 23551513440 is 4431515532.

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 63 ways as a sum of consecutive naturals, for example, 1345384 + ... + 1362776.

It is an arithmetic number, because the mean of its divisors is an integer number (245464128).

Almost surely, 223551513440 is an apocalyptic number.

23551513440 is a gapful number since it is divisible by the number (20) 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 23551513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47129112576).

23551513440 is an abundant number, since it is smaller than the sum of its proper divisors (70706711712).

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

23551513440 is a wasteful number, since it uses less digits than its factorization.

23551513440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17462 (or 17454 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 23551513440 in words is "twenty-three billion, five hundred fifty-one million, five hundred thirteen thousand, four hundred forty".