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63680380848 = 24337193133541
BaseRepresentation
bin111011010011101001…
…010111111110110000
320002100222212112011000
4323103221113332300
52020404134141343
645130535322000
74413026210010
oct732351277660
9202328775130
1063680380848
1125008a07727
1210412520300
13600b0a1b36
1431215a7c40
1519ca8e0ed3
hexed3a57fb0

63680380848 has 320 divisors, whose sum is σ = 220658099200. Its totient is φ = 17176872960.

The previous prime is 63680380843. The next prime is 63680380871. The reversal of 63680380848 is 84808308636.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 63680380794 and 63680380803.

It is not an unprimeable number, because it can be changed into a prime (63680380843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17981958 + ... + 17985498.

It is an arithmetic number, because the mean of its divisors is an integer number (689556560).

Almost surely, 263680380848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63680380848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110329049600).

63680380848 is an abundant number, since it is smaller than the sum of its proper divisors (156977718352).

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

63680380848 is a wasteful number, since it uses less digits than its factorization.

63680380848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 63680380848 in words is "sixty-three billion, six hundred eighty million, three hundred eighty thousand, eight hundred forty-eight".