Search a number
-
+
23669860032 = 26327213312081
BaseRepresentation
bin10110000010110101…
…010110011011000000
32021002121000110210200
4112002311112123000
5341433441010112
614512423125200
71465363330200
oct260265263300
967077013720
1023669860032
11a0470231a5
124706ba3800
132302aa7950
14120785c400
1593802bcdc
hex582d566c0

23669860032 has 504 divisors, whose sum is σ = 87776986752. Its totient is φ = 6038323200.

The previous prime is 23669860013. The next prime is 23669860043. The reversal of 23669860032 is 23006896632.

23669860032 is a `hidden beast` number, since 2 + 3 + 6 + 6 + 9 + 8 + 600 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 23669860032.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11373232 + ... + 11375312.

It is an arithmetic number, because the mean of its divisors is an integer number (174160688).

Almost surely, 223669860032 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 23669860032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43888493376).

23669860032 is an abundant number, since it is smaller than the sum of its proper divisors (64107126720).

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

23669860032 is a wasteful number, since it uses less digits than its factorization.

23669860032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 23669860032 in words is "twenty-three billion, six hundred sixty-nine million, eight hundred sixty thousand, thirty-two".