Search a number
-
+
23015467008 = 21135103449
BaseRepresentation
bin10101011011110101…
…000010100000000000
32012101222122212100000
4111123311002200000
5334113424421013
614323445200000
71443226145622
oct253365024000
965358585300
1023015467008
1198406a4016
124563a00000
13222a346241
141184996c12
158ea867973
hex55bd42800

23015467008 has 288 divisors, whose sum is σ = 69759144000. Its totient is φ = 7580418048.

The previous prime is 23015466977. The next prime is 23015467037. The reversal of 23015467008 is 80076451032.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51259168 + ... + 51259616.

It is an arithmetic number, because the mean of its divisors is an integer number (242219250).

Almost surely, 223015467008 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 23015467008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34879572000).

23015467008 is an abundant number, since it is smaller than the sum of its proper divisors (46743676992).

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

23015467008 is an equidigital number, since it uses as much as digits as its factorization.

23015467008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 23015467008 in words is "twenty-three billion, fifteen million, four hundred sixty-seven thousand, eight".