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68817046345047 = 3371121334353601
BaseRepresentation
bin11111010010110101101111…
…00110100001010101010111
3100000122211211021121201012000
433221122313212201111113
533004444302331020142
6402210040433130343
720331603363333660
oct1751326746412527
9300584737551160
1068817046345047
111aa22166672400
1278752556b99b3
132c5255bbbb000
1412dca97242367
157e51515d914c
hex3e96b79a1557

68817046345047 has 768 divisors, whose sum is σ = 144884359065600. Its totient is φ = 31570995456000.

The previous prime is 68817046345043. The next prime is 68817046345097. The reversal of 68817046345047 is 74054364071886.

68817046345047 is a `hidden beast` number, since 6 + 8 + 8 + 170 + 4 + 6 + 3 + 450 + 4 + 7 = 666.

It is not a de Polignac number, because 68817046345047 - 22 = 68817046345043 is a prime.

It is a super-2 number, since 2×688170463450472 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68817046345043) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 114504236547 + ... + 114504237147.

It is an arithmetic number, because the mean of its divisors is an integer number (188651509200).

Almost surely, 268817046345047 is an apocalyptic number.

68817046345047 is an abundant number, since it is smaller than the sum of its proper divisors (76067312720553).

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

68817046345047 is a wasteful number, since it uses less digits than its factorization.

68817046345047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 68817046345047 in words is "sixty-eight trillion, eight hundred seventeen billion, forty-six million, three hundred forty-five thousand, forty-seven".