Search a number
-
+
23939328000 = 21135376173
BaseRepresentation
bin10110010010111001…
…010010100000000000
32021210101001212100210
4112102321102200000
5343011431444000
614555250514120
71505144634120
oct262271224000
967711055323
1023939328000
11a1751434a5
124781295940
132346875553
141231564c80
15951a09350
hex592e52800

23939328000 has 768 divisors, whose sum is σ = 93788997120. Its totient is φ = 5308416000.

The previous prime is 23939327977. The next prime is 23939328031. The reversal of 23939328000 is 82393932.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 23939328000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 327935964 + ... + 327936036.

It is an arithmetic number, because the mean of its divisors is an integer number (122121090).

Almost surely, 223939328000 is an apocalyptic number.

23939328000 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 23939328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46894498560).

23939328000 is an abundant number, since it is smaller than the sum of its proper divisors (69849669120).

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

23939328000 is an equidigital number, since it uses as much as digits as its factorization.

23939328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 23939328000 in words is "twenty-three billion, nine hundred thirty-nine million, three hundred twenty-eight thousand".