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68817445128 = 2334106199761
BaseRepresentation
bin100000000010111010…
…1101110000100001000
320120122000011102120000
41000011311232010020
52111414231221003
651340404403000
74654234426545
oct1000565560410
9216560142500
1068817445128
11272047210a3
12114069a6460
136649450743
14348b947bcc
151bcb8be1a3
hex1005d6e108

68817445128 has 40 divisors (see below), whose sum is σ = 192752568030. Its totient is φ = 22939148160.

The previous prime is 68817445127. The next prime is 68817445129. The reversal of 68817445128 is 82154471886.

68817445128 is a `hidden beast` number, since 6 + 8 + 81 + 7 + 44 + 512 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (68817445127) and next prime (68817445129).

It can be written as a sum of positive squares in only one way, i.e., 68318458884 + 498986244 = 261378^2 + 22338^2 .

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 (68817445127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 53099233 + ... + 53100528.

Almost surely, 268817445128 is an apocalyptic number.

It is an amenable number.

68817445128 is an abundant number, since it is smaller than the sum of its proper divisors (123935122902).

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

68817445128 is a wasteful number, since it uses less digits than its factorization.

68817445128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106199779 (or 106199766 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 68817445128 in words is "sixty-eight billion, eight hundred seventeen million, four hundred forty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 106199761 212399522 318599283 424799044 637198566 849598088 955797849 1274397132 1911595698 2548794264 2867393547 3823191396 5734787094 7646382792 8602180641 11469574188 17204361282 22939148376 34408722564 68817445128