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68436286464 = 21037133153149
BaseRepresentation
bin111111101111000111…
…101101110000000000
320112122102221120011110
4333233013231300000
52110124142131324
651234511043320
74641625560030
oct775707556000
9215572846143
1068436286464
1127029554a37
121131b210540
1365b84a8080
1434530898c0
151ba81cd329
hexfef1edc00

68436286464 has 704 divisors, whose sum is σ = 237700915200. Its totient is φ = 17022320640.

The previous prime is 68436286441. The next prime is 68436286469. The reversal of 68436286464 is 46468263486.

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 (68436286469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 459303862 + ... + 459304010.

Almost surely, 268436286464 is an apocalyptic number.

68436286464 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 68436286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118850457600).

68436286464 is an abundant number, since it is smaller than the sum of its proper divisors (169264628736).

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

68436286464 is a wasteful number, since it uses less digits than its factorization.

68436286464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 258 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 57.

The spelling of 68436286464 in words is "sixty-eight billion, four hundred thirty-six million, two hundred eighty-six thousand, four hundred sixty-four".