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68524135680 = 28357111317827
BaseRepresentation
bin111111110100010110…
…110101010100000000
320112212120020202122010
4333310112311110000
52110314134320210
651251330012520
74644043354140
oct776426652400
9215776222563
1068524135680
11270740a73a0
1211344717140
136600756060
1434609d6920
151bb0c82920
hexff45b5500

68524135680 has 576 divisors, whose sum is σ = 293855643648. Its totient is φ = 13142753280.

The previous prime is 68524135661. The next prime is 68524135723. The reversal of 68524135680 is 8653142586.

It is a happy number.

68524135680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3834927 + ... + 3852753.

It is an arithmetic number, because the mean of its divisors is an integer number (510166048).

Almost surely, 268524135680 is an apocalyptic number.

68524135680 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 68524135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146927821824).

68524135680 is an abundant number, since it is smaller than the sum of its proper divisors (225331507968).

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

68524135680 is a wasteful number, since it uses less digits than its factorization.

68524135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17882 (or 17868 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 68524135680 in words is "sixty-eight billion, five hundred twenty-four million, one hundred thirty-five thousand, six hundred eighty".