Search a number
-
+
63413197248 = 26331131167487
BaseRepresentation
bin111011000011101110…
…001001100111000000
320001200101010012011010
4323003232021213000
52014332234302443
645044232520520
74403303166042
oct730356114700
9201611105133
1063413197248
1124991107735
1210358b50140
135c97923c2b
1430d7cd7a92
1519b2215733
hexec3b899c0

63413197248 has 224 divisors, whose sum is σ = 175920611328. Its totient is φ = 20136729600.

The previous prime is 63413197247. The next prime is 63413197273. The reversal of 63413197248 is 84279131436.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 63413197197 and 63413197206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63413197247) 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, 130211661 + ... + 130212147.

It is an arithmetic number, because the mean of its divisors is an integer number (785359872).

Almost surely, 263413197248 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 63413197248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87960305664).

63413197248 is an abundant number, since it is smaller than the sum of its proper divisors (112507414080).

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

63413197248 is a wasteful number, since it uses less digits than its factorization.

63413197248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 821 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The spelling of 63413197248 in words is "sixty-three billion, four hundred thirteen million, one hundred ninety-seven thousand, two hundred forty-eight".