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63244969344 = 2733137223599
BaseRepresentation
bin111010111001101100…
…011010010110000000
320001020122120022212000
4322321230122112000
52014011203004334
645015423104000
74366161240504
oct727154322600
9201218508760
1063244969344
1124905155607
1210310742000
135c6bb123ab
1430bd826304
1519a2585299
hexeb9b1a580

63244969344 has 256 divisors, whose sum is σ = 189181440000. Its totient is φ = 20799148032.

The previous prime is 63244969313. The next prime is 63244969349. The reversal of 63244969344 is 44396944236.

It is a happy number.

63244969344 is a `hidden beast` number, since 6 + 3 + 24 + 496 + 93 + 44 = 666.

It is a super-2 number, since 2×632449693442 (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63244969349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105583957 + ... + 105584555.

It is an arithmetic number, because the mean of its divisors is an integer number (738990000).

Almost surely, 263244969344 is an apocalyptic number.

63244969344 is a gapful number since it is divisible by the number (64) 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 63244969344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94590720000).

63244969344 is an abundant number, since it is smaller than the sum of its proper divisors (125936470656).

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

63244969344 is a wasteful number, since it uses less digits than its factorization.

63244969344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 964 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 63244969344 in words is "sixty-three billion, two hundred forty-four million, nine hundred sixty-nine thousand, three hundred forty-four".