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63053527680 = 273351113171979
BaseRepresentation
bin111010101110010010…
…000111101010000000
320000202022100002021000
4322232102013222000
52013113200341210
644544423532000
74361345066523
oct725622075200
9200668302230
1063053527680
1124817088660
12102785ba000
135c3b2636c0
1430a2230bba
15199086bac0
hexeae487a80

63053527680 has 2048 divisors, whose sum is σ = 296110080000. Its totient is φ = 12421693440.

The previous prime is 63053527651. The next prime is 63053527723. The reversal of 63053527680 is 8672535036.

63053527680 is a `hidden beast` number, since 6 + 30 + 535 + 2 + 7 + 6 + 80 = 666.

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 255 ways as a sum of consecutive naturals, for example, 798145881 + ... + 798145959.

It is an arithmetic number, because the mean of its divisors is an integer number (144585000).

Almost surely, 263053527680 is an apocalyptic number.

63053527680 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 63053527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040000).

63053527680 is an abundant number, since it is smaller than the sum of its proper divisors (233056552320).

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

63053527680 is a wasteful number, since it uses less digits than its factorization.

63053527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 63053527680 in words is "sixty-three billion, fifty-three million, five hundred twenty-seven thousand, six hundred eighty".