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3382127047 = 132232694337
BaseRepresentation
bin1100100110010111…
…0010100111000111
322201201001212002201
43021211302213013
523411311031142
61315334415331
7146545414465
oct31145624707
98651055081
103382127047
111486139122
127a4801547
1341b908910
14241277835
1514bdc6ab7
hexc99729c7

3382127047 has 16 divisors (see below), whose sum is σ = 3673071360. Its totient is φ = 3095695872.

The previous prime is 3382127039. The next prime is 3382127071. The reversal of 3382127047 is 7407212833.

It is a cyclic number.

It is not a de Polignac number, because 3382127047 - 23 = 3382127039 is a prime.

It is a super-2 number, since 2×33821270472 = 22877566724097880418, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3382126997 and 3382127015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382127347) 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 15 ways as a sum of consecutive naturals, for example, 777663 + ... + 781999.

It is an arithmetic number, because the mean of its divisors is an integer number (229566960).

Almost surely, 23382127047 is an apocalyptic number.

3382127047 is a deficient number, since it is larger than the sum of its proper divisors (290944313).

3382127047 is a wasteful number, since it uses less digits than its factorization.

3382127047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842.

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 3382127047 is about 58156.0576982312. The cubic root of 3382127047 is about 1501.0551164603.

The spelling of 3382127047 in words is "three billion, three hundred eighty-two million, one hundred twenty-seven thousand, forty-seven".

Divisors: 1 13 223 269 2899 3497 4337 56381 59987 779831 967151 1166653 12572963 15166489 260163619 3382127047