Search a number
-
+
23404752000 = 2732537231107
BaseRepresentation
bin10101110011000010…
…000010110010000000
32020102010011120221200
4111303002002302000
5340413104031000
614430233021200
71455664052400
oct256302026200
966363146850
1023404752000
119a20410653
124652254800
13228cba56a6
1411c056c800
1591eb11500
hex573082c80

23404752000 has 1152 divisors, whose sum is σ = 101872442880. Its totient is φ = 5128704000.

The previous prime is 23404751983. The next prime is 23404752047. The reversal of 23404752000 is 25740432.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 218735947 + ... + 218736053.

It is an arithmetic number, because the mean of its divisors is an integer number (88430940).

Almost surely, 223404752000 is an apocalyptic number.

23404752000 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 23404752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50936221440).

23404752000 is an abundant number, since it is smaller than the sum of its proper divisors (78467690880).

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

23404752000 is a wasteful number, since it uses less digits than its factorization.

23404752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 23404752000 in words is "twenty-three billion, four hundred four million, seven hundred fifty-two thousand".