Search a number
-
+
63053998560 = 253357592599
BaseRepresentation
bin111010101110010011…
…111010100111100000
320000202100020000012000
4322232103322213200
52013113310423220
644544442004000
74361352100410
oct725623724740
9200670200160
1063053998560
112481737a413
12102787a6600
135c3b399b27
1430a2314640
151990911390
hexeae4fa9e0

63053998560 has 576 divisors, whose sum is σ = 256991616000. Its totient is φ = 14144412672.

The previous prime is 63053998549. The next prime is 63053998583. The reversal of 63053998560 is 6589935036.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 63053998497 and 63053998506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105265141 + ... + 105265739.

It is an arithmetic number, because the mean of its divisors is an integer number (446166000).

Almost surely, 263053998560 is an apocalyptic number.

63053998560 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 63053998560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128495808000).

63053998560 is an abundant number, since it is smaller than the sum of its proper divisors (193937617440).

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

63053998560 is a wasteful number, since it uses less digits than its factorization.

63053998560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 63053998560 in words is "sixty-three billion, fifty-three million, nine hundred ninety-eight thousand, five hundred sixty".