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63304710144 = 2113133137691
BaseRepresentation
bin111010111101010000…
…010011100000000000
320001101210222110211020
4322331100103200000
52014122001211034
645025355345440
74400515105104
oct727520234000
9201353873736
1063304710144
1124935949775
1210328752280
135c7b2cb390
1430c7737904
1519a7936249
hexebd413800

63304710144 has 384 divisors, whose sum is σ = 192966359040. Its totient is φ = 18314035200.

The previous prime is 63304710127. The next prime is 63304710163. The reversal of 63304710144 is 44101740336.

It is a tau number, because it is divible by the number of its divisors (384).

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, 91612839 + ... + 91613529.

It is an arithmetic number, because the mean of its divisors is an integer number (502516560).

Almost surely, 263304710144 is an apocalyptic number.

63304710144 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 63304710144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96483179520).

63304710144 is an abundant number, since it is smaller than the sum of its proper divisors (129661648896).

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

63304710144 is a wasteful number, since it uses less digits than its factorization.

63304710144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 63304710144 in words is "sixty-three billion, three hundred four million, seven hundred ten thousand, one hundred forty-four".