Search a number
-
+
65224125120 = 26357114121521
BaseRepresentation
bin111100101111101010…
…010010101011000000
320020100120200212011210
4330233222102223000
52032034334000440
645544043210120
74466212626120
oct745752225300
9206316625153
1065224125120
1125730355640
1210783516940
1361c5b6bc9b
14322a616c80
151a6b1cba80
hexf2fa92ac0

65224125120 has 448 divisors, whose sum is σ = 264495393792. Its totient is φ = 13221888000.

The previous prime is 65224125089. The next prime is 65224125157. The reversal of 65224125120 is 2152142256.

65224125120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3019960 + ... + 3041480.

It is an arithmetic number, because the mean of its divisors is an integer number (590391504).

Almost surely, 265224125120 is an apocalyptic number.

65224125120 is a gapful number since it is divisible by the number (60) 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 65224125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132247696896).

65224125120 is an abundant number, since it is smaller than the sum of its proper divisors (199271268672).

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

65224125120 is a wasteful number, since it uses less digits than its factorization.

65224125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21600 (or 21590 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 65224125120 its reverse (2152142256), we get a palindrome (67376267376).

The spelling of 65224125120 in words is "sixty-five billion, two hundred twenty-four million, one hundred twenty-five thousand, one hundred twenty".