Search a number
-
+
64831028448 = 2531943247409
BaseRepresentation
bin111100011000001110…
…101111110011100000
320012100012000110220210
4330120032233303200
52030233220402243
645441041534120
74453400435514
oct743016576340
9205305013823
1064831028448
112554947525a
1210693944340
1361625a68c4
1431d032c144
151a4692d933
hexf183afce0

64831028448 has 288 divisors, whose sum is σ = 187761369600. Its totient is φ = 19523524608.

The previous prime is 64831028447. The next prime is 64831028461. The reversal of 64831028448 is 84482013846.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 64831028397 and 64831028406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64831028447) 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 47 ways as a sum of consecutive naturals, for example, 158510868 + ... + 158511276.

It is an arithmetic number, because the mean of its divisors is an integer number (651949200).

Almost surely, 264831028448 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 64831028448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93880684800).

64831028448 is an abundant number, since it is smaller than the sum of its proper divisors (122930341152).

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

64831028448 is a wasteful number, since it uses less digits than its factorization.

64831028448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 64831028448 in words is "sixty-four billion, eight hundred thirty-one million, twenty-eight thousand, four hundred forty-eight".