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63364944384 = 29357312347
BaseRepresentation
bin111011000000110110…
…000101001000000000
320001120000022200200000
4323000312011020000
52014232411210014
645035350400000
74402146066120
oct730066051000
9201500280600
1063364944384
112496694a635
1210344960000
135c8a92ab41
1430d1736c80
1519acd83509
hexec0d85200

63364944384 has 480 divisors, whose sum is σ = 223828340736. Its totient is φ = 17512796160.

The previous prime is 63364944371. The next prime is 63364944421. The reversal of 63364944384 is 48344946336.

63364944384 is a `hidden beast` number, since 6 + 3 + 36 + 494 + 43 + 84 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 63364944384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26997099 + ... + 26999445.

Almost surely, 263364944384 is an apocalyptic number.

63364944384 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 63364944384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111914170368).

63364944384 is an abundant number, since it is smaller than the sum of its proper divisors (160463396352).

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

63364944384 is an equidigital number, since it uses as much as digits as its factorization.

63364944384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2390 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

The spelling of 63364944384 in words is "sixty-three billion, three hundred sixty-four million, nine hundred forty-four thousand, three hundred eighty-four".