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68394193920 = 210325132931127
BaseRepresentation
bin111111101100100111…
…001001010000000000
320112112111202001001100
4333230213021100000
52110032403201140
651230404534400
74640605025163
oct775447112000
9215474661040
1068394193920
1127007815208
12113090b1400
1365ac85ac40
14344b64dada
151ba4666530
hexfec9c9400

68394193920 has 1056 divisors, whose sum is σ = 274676613120. Its totient is φ = 15606743040.

The previous prime is 68394193897. The next prime is 68394193927. The reversal of 68394193920 is 2939149386.

68394193920 is a `hidden beast` number, since 68 + 394 + 193 + 9 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68394193927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 538536897 + ... + 538537023.

Almost surely, 268394193920 is an apocalyptic number.

68394193920 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 68394193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137338306560).

68394193920 is an abundant number, since it is smaller than the sum of its proper divisors (206282419200).

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

68394193920 is a wasteful number, since it uses less digits than its factorization.

68394193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 68394193920 in words is "sixty-eight billion, three hundred ninety-four million, one hundred ninety-three thousand, nine hundred twenty".