Search a number
-
+
63628542720 = 2832529283673
BaseRepresentation
bin111011010000100011…
…101000001100000000
320002020101022212121100
4323100203220030000
52020302401331340
645121444254400
74411526455311
oct732043501400
9202211285540
1063628542720
1124a917209a6
12103b90a1400
136000421ba2
143118752608
1519c60a1830
hexed08e8300

63628542720 has 432 divisors, whose sum is σ = 228883767840. Its totient is φ = 16300376064.

The previous prime is 63628542713. The next prime is 63628542721. The reversal of 63628542720 is 2724582636.

63628542720 is a `hidden beast` number, since 6 + 36 + 2 + 8 + 542 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (63628542721) 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 47 ways as a sum of consecutive naturals, for example, 94544304 + ... + 94544976.

Almost surely, 263628542720 is an apocalyptic number.

63628542720 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 63628542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114441883920).

63628542720 is an abundant number, since it is smaller than the sum of its proper divisors (165255225120).

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

63628542720 is a wasteful number, since it uses less digits than its factorization.

63628542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 63628542720 in words is "sixty-three billion, six hundred twenty-eight million, five hundred forty-two thousand, seven hundred twenty".