Search a number
-
+
6463601064960 = 2103513311044187
BaseRepresentation
bin101111000001110110010…
…1001010011110000000000
3211212220200110201210002120
41132003230221103300000
51321344423333034320
621425200510444240
71234660026355434
oct136035451236000
924786613653076
106463601064960
11207221a328256
12884832b03680
1337b6904bc090
14184ba8bd09c4
15b31ee306440
hex5e0eca53c00

6463601064960 has 352 divisors, whose sum is σ = 22981892892672. Its totient is φ = 1539714908160.

The previous prime is 6463601064887. The next prime is 6463601064979. The reversal of 6463601064960 is 694601063646.

It is a super-2 number, since 2×64636010649602 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 5667987 + ... + 6712173.

Almost surely, 26463601064960 is an apocalyptic number.

6463601064960 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 6463601064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490946446336).

6463601064960 is an abundant number, since it is smaller than the sum of its proper divisors (16518291827712).

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

6463601064960 is a wasteful number, since it uses less digits than its factorization.

6463601064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044259 (or 1044241 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The spelling of 6463601064960 in words is "six trillion, four hundred sixty-three billion, six hundred one million, sixty-four thousand, nine hundred sixty".