Search a number
-
+
63630016 = 268911171
BaseRepresentation
bin1111001010111…
…0101011000000
311102201201222021
43302232223000
5112242130031
610151451224
71401563152
oct362565300
9142651867
1063630016
1132a1019a
1219386b14
131024b2c8
148644ad2
1558bd511
hex3caeac0

63630016 has 28 divisors (see below), whose sum is σ = 127695960. Its totient is φ = 31454720.

The previous prime is 63629999. The next prime is 63630019. The reversal of 63630016 is 61003636.

63630016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (63630019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111 + ... + 11281.

It is an arithmetic number, because the mean of its divisors is an integer number (4560570).

Almost surely, 263630016 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 63630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63847980).

63630016 is an abundant number, since it is smaller than the sum of its proper divisors (64065944).

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

63630016 is a wasteful number, since it uses less digits than its factorization.

63630016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11272 (or 11262 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 63630016 is about 7976.8424830882. The cubic root of 63630016 is about 399.2277098795.

The spelling of 63630016 in words is "sixty-three million, six hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 2848 5696 11171 22342 44684 89368 178736 357472 714944 994219 1988438 3976876 7953752 15907504 31815008 63630016