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68112009 = 34721312
BaseRepresentation
bin1000000111101…
…00111010001001
311202011110010000
410003310322021
5114414041014
610431513213
71454641200
oct403647211
9152143100
1068112009
11354a1619
121a988809
131115a384
149090237
155ea6509
hex40f4e89

68112009 has 45 divisors (see below), whose sum is σ = 119269821. Its totient is φ = 38624040.

The previous prime is 68112007. The next prime is 68112061. The reversal of 68112009 is 90021186.

The square root of 68112009 is 8253.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 68112009 - 21 = 68112007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (68112001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 519874 + ... + 520004.

Almost surely, 268112009 is an apocalyptic number.

68112009 is the 8253-rd square number.

68112009 is the 4127-th centered octagonal number.

It is an amenable number.

68112009 is a deficient number, since it is larger than the sum of its proper divisors (51157812).

68112009 is an equidigital number, since it uses as much as digits as its factorization.

68112009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The cubic root of 68112009 is about 408.3894961298.

The spelling of 68112009 in words is "sixty-eight million, one hundred twelve thousand, nine".

Divisors: 1 3 7 9 21 27 49 63 81 131 147 189 393 441 567 917 1179 1323 2751 3537 3969 6419 8253 10611 17161 19257 24759 51483 57771 74277 120127 154449 173313 360381 463347 519939 840889 1081143 1390041 2522667 3243429 7568001 9730287 22704003 68112009