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6930471141 = 3211217219261
BaseRepresentation
bin1100111010001011…
…01001100011100101
3122212222220102010100
412131011221203211
5103143200034031
63103412014313
7333513014136
oct63505514345
918788812110
106930471141
112a37085600
121415001399
13865aa09c9
1449a61bc8d
152a8682de6
hex19d1698e5

6930471141 has 162 divisors, whose sum is σ = 12538628466. Its totient is φ = 3683750400.

The previous prime is 6930471083. The next prime is 6930471143. The reversal of 6930471141 is 1411740396.

It can be written as a sum of positive squares in 3 ways, for example, as 982822500 + 5947648641 = 31350^2 + 77121^2 .

It is not a de Polignac number, because 6930471141 - 211 = 6930469093 is a prime.

It is a super-3 number, since 3×69304711413 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6930471096 and 6930471105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6930471143) 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 161 ways as a sum of consecutive naturals, for example, 113614251 + ... + 113614311.

Almost surely, 26930471141 is an apocalyptic number.

6930471141 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6930471141 is a deficient number, since it is larger than the sum of its proper divisors (5608157325).

6930471141 is a wasteful number, since it uses less digits than its factorization.

6930471141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6930471141 is about 83249.4512954890. The cubic root of 6930471141 is about 1906.5765765290.

The spelling of 6930471141 in words is "six billion, nine hundred thirty million, four hundred seventy-one thousand, one hundred forty-one".