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68137894440 = 23335711978447
BaseRepresentation
bin111111011101010101…
…011100001000101000
320111212122110200021000
4333131111130020220
52104021300110230
651145131315000
74631343355320
oct773525341050
9214778420230
1068137894440
1126996079660
12112572aba60
13656b721145
1434255b4280
151b8bddab60
hexfdd55c228

68137894440 has 512 divisors, whose sum is σ = 286123622400. Its totient is φ = 14010900480.

The previous prime is 68137894439. The next prime is 68137894441. The reversal of 68137894440 is 4449873186.

68137894440 is a `hidden beast` number, since 6 + 81 + 37 + 8 + 94 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (68137894439) and next prime (68137894441).

It is a super-3 number, since 3×681378944403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (68137894441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8062297 + ... + 8070743.

It is an arithmetic number, because the mean of its divisors is an integer number (558835200).

Almost surely, 268137894440 is an apocalyptic number.

68137894440 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 68137894440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143061811200).

68137894440 is an abundant number, since it is smaller than the sum of its proper divisors (217985727960).

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

68137894440 is a wasteful number, since it uses less digits than its factorization.

68137894440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8582 (or 8572 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 68137894440 in words is "sixty-eight billion, one hundred thirty-seven million, eight hundred ninety-four thousand, four hundred forty".