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63290384640 = 283357431607
BaseRepresentation
bin111010111100011001…
…101010000100000000
320001100211000122221000
4322330121222010000
52014104314302030
645024124332000
74400252251560
oct727431520400
9201324018830
1063290384640
112492885480a
12103239a4000
135c78353a52
1430c5888da0
1519a6556860
hexebc66a100

63290384640 has 576 divisors, whose sum is σ = 257697054720. Its totient is φ = 14409031680.

The previous prime is 63290384627. The next prime is 63290384657. The reversal of 63290384640 is 4648309236.

63290384640 is a `hidden beast` number, since 632 + 9 + 0 + 3 + 8 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 104267217 + ... + 104267823.

It is an arithmetic number, because the mean of its divisors is an integer number (447390720).

Almost surely, 263290384640 is an apocalyptic number.

63290384640 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 63290384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128848527360).

63290384640 is an abundant number, since it is smaller than the sum of its proper divisors (194406670080).

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

63290384640 is a wasteful number, since it uses less digits than its factorization.

63290384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 63290384640 in words is "sixty-three billion, two hundred ninety million, three hundred eighty-four thousand, six hundred forty".