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68043103632 = 2432725323433
BaseRepresentation
bin111111010111101011…
…110101110110010000
320111122001002210201100
4333113223311312100
52103323013304012
651131503504400
74626112560300
oct772753656620
9214561083640
1068043103632
1126947615949
121122b5b8100
136554bb26ca
143416b7b600
151b839148dc
hexfd7af5d90

68043103632 has 270 divisors, whose sum is σ = 225840351282. Its totient is φ = 19068521472.

The previous prime is 68043103631. The next prime is 68043103663. The reversal of 68043103632 is 23630134086.

68043103632 is a `hidden beast` number, since 6 + 8 + 0 + 4 + 3 + 10 + 3 + 632 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 17703899136 + 50339204496 = 133056^2 + 224364^2 .

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 (68043103631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 19818588 + ... + 19822020.

Almost surely, 268043103632 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 68043103632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112920175641).

68043103632 is an abundant number, since it is smaller than the sum of its proper divisors (157797247650).

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

68043103632 is a wasteful number, since it uses less digits than its factorization.

68043103632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 68043103632 in words is "sixty-eight billion, forty-three million, one hundred three thousand, six hundred thirty-two".