Search a number
-
+
23432976000 = 2736537241
BaseRepresentation
bin10101110100101101…
…101101011010000000
32020111002021112000000
4111310231231122000
5340442320213000
614433122000000
71456456003200
oct256455553200
966432245000
1023432976000
119a35338775
12465b7a6000
1322959a8195
1411c41d8400
15922339000
hex574b6d680

23432976000 has 1344 divisors, whose sum is σ = 104090018760. Its totient is φ = 5225472000.

The previous prime is 23432975999. The next prime is 23432976011. The reversal of 23432976000 is 67923432.

It is a happy number.

23432976000 is a `hidden beast` number, since 2 + 3 + 43 + 2 + 9 + 7 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1922647104 + 21510328896 = 43848^2 + 146664^2 .

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 571535980 + ... + 571536020.

Almost surely, 223432976000 is an apocalyptic number.

23432976000 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 23432976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52045009380).

23432976000 is an abundant number, since it is smaller than the sum of its proper divisors (80657042760).

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

23432976000 is an frugal number, since it uses more digits than its factorization.

23432976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 23432976000 in words is "twenty-three billion, four hundred thirty-two million, nine hundred seventy-six thousand".