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63402040080 = 24325712335323
BaseRepresentation
bin111011000011000011…
…100101101100010000
320001122121010100101200
4323003003211230100
52014321410240310
645043153431200
74403106306621
oct730303455420
9201577110350
1063402040080
1124985887135
121035526b500
135c95518762
1430d6631a48
1519b125e9c0
hexec30e5b10

63402040080 has 240 divisors, whose sum is σ = 216891582336. Its totient is φ = 16594421760.

The previous prime is 63402040049. The next prime is 63402040147. The reversal of 63402040080 is 8004020436.

63402040080 is a `hidden beast` number, since 634 + 0 + 20 + 4 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 11908299 + ... + 11913621.

Almost surely, 263402040080 is an apocalyptic number.

63402040080 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 63402040080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108445791168).

63402040080 is an abundant number, since it is smaller than the sum of its proper divisors (153489542256).

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

63402040080 is a wasteful number, since it uses less digits than its factorization.

63402040080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5646 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 63402040080 in words is "sixty-three billion, four hundred two million, forty thousand, eighty".