Search a number
-
+
63064546944 = 2737173144519
BaseRepresentation
bin111010101110111100…
…001001111010000000
320000210002001220211220
4322232330021322000
52013124011000234
644545500035040
74361540542620
oct725674117200
9200702056756
1063064546944
1124822324593
1210280232a80
135c40621189
1430a389c880
1519917e6a49
hexeaef09e80

63064546944 has 256 divisors, whose sum is σ = 209251123200. Its totient is φ = 16411115520.

The previous prime is 63064546933. The next prime is 63064546967. The reversal of 63064546944 is 44964546036.

63064546944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1394317 + ... + 1438835.

It is an arithmetic number, because the mean of its divisors is an integer number (817387200).

Almost surely, 263064546944 is an apocalyptic number.

63064546944 is a gapful number since it is divisible by the number (64) 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 63064546944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104625561600).

63064546944 is an abundant number, since it is smaller than the sum of its proper divisors (146186576256).

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

63064546944 is a wasteful number, since it uses less digits than its factorization.

63064546944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44591 (or 44579 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 51.

The spelling of 63064546944 in words is "sixty-three billion, sixty-four million, five hundred forty-six thousand, nine hundred forty-four".