Search a number
-
+
20524554456 = 23373747163431
BaseRepresentation
bin10011000111010110…
…111101100011011000
31221222101120101200120
4103013112331203120
5314013241220311
613232344233240
71324421556120
oct230726754330
957871511616
1020524554456
1187826375aa
123b8976b820
131c212791a3
14dc9c2dc80
15801d34706
hex4c75bd8d8

20524554456 has 256 divisors, whose sum is σ = 62028840960. Its totient is φ = 5537134080.

The previous prime is 20524554451. The next prime is 20524554467. The reversal of 20524554456 is 65445542502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20524554451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47620561 + ... + 47620991.

It is an arithmetic number, because the mean of its divisors is an integer number (242300160).

Almost surely, 220524554456 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 20524554456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31014420480).

20524554456 is an abundant number, since it is smaller than the sum of its proper divisors (41504286504).

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

20524554456 is a wasteful number, since it uses less digits than its factorization.

20524554456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

The spelling of 20524554456 in words is "twenty billion, five hundred twenty-four million, five hundred fifty-four thousand, four hundred fifty-six".