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63497416320 = 273651319229
BaseRepresentation
bin111011001000101111…
…011010111010000000
320001220020120222000000
4323020233122322000
52020020314310240
645100442000000
74405345063512
oct731057327200
9201806528000
1063497416320
1124a246aa778
12103811a6000
135cac2007c0
14310517bbb2
1519b97ee430
hexec8bdae80

63497416320 has 1344 divisors, whose sum is σ = 267599845800. Its totient is φ = 14296891392.

The previous prime is 63497416247. The next prime is 63497416361. The reversal of 63497416320 is 2361479436.

63497416320 is a `hidden beast` number, since 6 + 3 + 4 + 9 + 7 + 4 + 1 + 632 + 0 = 666.

63497416320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40439601216 + 23057815104 = 201096^2 + 151848^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2189566066 + ... + 2189566094.

Almost surely, 263497416320 is an apocalyptic number.

63497416320 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 63497416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133799922900).

63497416320 is an abundant number, since it is smaller than the sum of its proper divisors (204102429480).

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

63497416320 is a wasteful number, since it uses less digits than its factorization.

63497416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 63497416320 in words is "sixty-three billion, four hundred ninety-seven million, four hundred sixteen thousand, three hundred twenty".