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8427935061 = 347131143391
BaseRepresentation
bin1111101100101100…
…00001010101010101
3210202100122110110000
413312112001111111
5114230022410221
63512143521513
7415565160150
oct76626012525
923670573400
108427935061
113635393397
1217725b9299
13a440b5830
1459d460c97
15344d7ae26
hex1f6581555

8427935061 has 40 divisors (see below), whose sum is σ = 15495248384. Its totient is φ = 4445500320.

The previous prime is 8427935053. The next prime is 8427935069. The reversal of 8427935061 is 1605397248.

8427935061 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8427935053) and next prime (8427935069).

It is not a de Polignac number, because 8427935061 - 23 = 8427935053 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

8427935061 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8427934998 and 8427935016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8427935069) 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 39 ways as a sum of consecutive naturals, for example, 564325 + ... + 579066.

It is a 1-persistent number, because it is pandigital, but 2⋅8427935061 = 16855870122 is not.

Almost surely, 28427935061 is an apocalyptic number.

8427935061 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8427935061 is a deficient number, since it is larger than the sum of its proper divisors (7067313323).

8427935061 is a wasteful number, since it uses less digits than its factorization.

8427935061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143423 (or 1143414 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8427935061 is about 91803.7856572375. The cubic root of 8427935061 is about 2035.0436404182.

The spelling of 8427935061 in words is "eight billion, four hundred twenty-seven million, nine hundred thirty-five thousand, sixty-one".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 273 351 567 819 1053 2457 7371 1143391 3430173 8003737 10290519 14864083 24011211 30871557 44592249 72033633 92614671 104048581 133776747 216100899 312145743 401330241 648302697 936437229 1203990723 2809311687 8427935061