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68688186624 = 283413923831
BaseRepresentation
bin111111111110001000…
…101000110100000000
320120021222221102020000
4333332020220310000
52111133133432444
651315510120000
74651104644601
oct777610506400
9216258842200
1068688186624
1127148766292
121138b650000
136628734615
1434786dbda8
151bc038a469
hexffe228d00

68688186624 has 180 divisors, whose sum is σ = 206297894880. Its totient is φ = 22730388480.

The previous prime is 68688186617. The next prime is 68688186653. The reversal of 68688186624 is 42668188686.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2870389 + ... + 2894219.

It is an arithmetic number, because the mean of its divisors is an integer number (1146099416).

Almost surely, 268688186624 is an apocalyptic number.

68688186624 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 68688186624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103148947440).

68688186624 is an abundant number, since it is smaller than the sum of its proper divisors (137609708256).

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

68688186624 is a wasteful number, since it uses less digits than its factorization.

68688186624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23998 (or 23975 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The spelling of 68688186624 in words is "sixty-eight billion, six hundred eighty-eight million, one hundred eighty-six thousand, six hundred twenty-four".