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68840681976 = 23331125349697
BaseRepresentation
bin100000000011100111…
…0010111000111111000
320120200121212222112000
41000013032113013320
52111441203310401
651342554421000
74654636066503
oct1000716270770
9216617788460
1068840681976
1127216852300
1211412731760
1366511c8261
143490a7613a
151bcd95e186
hex10073971f8

68840681976 has 192 divisors, whose sum is σ = 214158621600. Its totient is φ = 20466800640.

The previous prime is 68840681971. The next prime is 68840682007. The reversal of 68840681976 is 67918604886.

68840681976 is a `hidden beast` number, since 6 + 88 + 406 + 81 + 9 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68840681971) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1360360 + ... + 1410056.

Almost surely, 268840681976 is an apocalyptic number.

68840681976 is a gapful number since it is divisible by the number (66) 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 68840681976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107079310800).

68840681976 is an abundant number, since it is smaller than the sum of its proper divisors (145317939624).

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

68840681976 is a wasteful number, since it uses less digits than its factorization.

68840681976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49787 (or 49766 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 68840681976 in words is "sixty-eight billion, eight hundred forty million, six hundred eighty-one thousand, nine hundred seventy-six".