Search a number
-
+
63486720000 = 211335411167
BaseRepresentation
bin111011001000000110…
…100111100000000000
320001212111110112102000
4323020012213200000
52020010100020000
645055420424000
74405155134064
oct731006474000
9201774415360
1063486720000
1124a19664440
12103796a8000
135ca9c27012
143103995aa4
1519b88da000
hexec81a7800

63486720000 has 960 divisors, whose sum is σ = 257902444800. Its totient is φ = 15298560000.

The previous prime is 63486719987. The next prime is 63486720001. The reversal of 63486720000 is 2768436.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63486720001) 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 79 ways as a sum of consecutive naturals, for example, 380159917 + ... + 380160083.

It is an arithmetic number, because the mean of its divisors is an integer number (268648380).

Almost surely, 263486720000 is an apocalyptic number.

63486720000 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 63486720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128951222400).

63486720000 is an abundant number, since it is smaller than the sum of its proper divisors (194415724800).

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

63486720000 is a wasteful number, since it uses less digits than its factorization.

63486720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 63486720000 in words is "sixty-three billion, four hundred eighty-six million, seven hundred twenty thousand".