Search a number
-
+
23241505504 = 2573143277281
BaseRepresentation
bin10101101001010011…
…010011101011100000
32012222201222210212011
4111221103103223200
5340044311134004
614402122042304
71451642352160
oct255123235340
965881883764
1023241505504
119947251098
124607649394
132265119329
1411a69d65a0
15910617004
hex5694d3ae0

23241505504 has 192 divisors, whose sum is σ = 55632310272. Its totient is φ = 9347788800.

The previous prime is 23241505493. The next prime is 23241505513. The reversal of 23241505504 is 40550514232.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 31 ways as a sum of consecutive naturals, for example, 82709844 + ... + 82710124.

It is an arithmetic number, because the mean of its divisors is an integer number (289751616).

Almost surely, 223241505504 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 23241505504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27816155136).

23241505504 is an abundant number, since it is smaller than the sum of its proper divisors (32390804768).

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

23241505504 is a wasteful number, since it uses less digits than its factorization.

23241505504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 23241505504 in words is "twenty-three billion, two hundred forty-one million, five hundred five thousand, five hundred four".