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3135417047 = 7247283349
BaseRepresentation
bin1011101011100010…
…1010101011010111
322002111211200121022
42322320222223113
522410131321142
61235042511355
7140461414400
oct27270525327
98074750538
103135417047
111369952264
1273606555b
133ac778879
1421a5b69a7
151353e26d2
hexbae2aad7

3135417047 has 36 divisors (see below), whose sum is σ = 3782280600. Its totient is φ = 2591182944.

The previous prime is 3135417007. The next prime is 3135417053. The reversal of 3135417047 is 7407145313.

It is a de Polignac number, because none of the positive numbers 2k-3135417047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3135416998 and 3135417016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135417007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8983829 + ... + 8984177.

It is an arithmetic number, because the mean of its divisors is an integer number (105063350).

Almost surely, 23135417047 is an apocalyptic number.

3135417047 is a deficient number, since it is larger than the sum of its proper divisors (646863553).

3135417047 is an equidigital number, since it uses as much as digits as its factorization.

3135417047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 3135417047 is about 55994.7948205902. The cubic root of 3135417047 is about 1463.6315809719.

The spelling of 3135417047 in words is "three billion, one hundred thirty-five million, four hundred seventeen thousand, forty-seven".

Divisors: 1 7 47 49 83 329 349 581 2209 2303 2443 3901 4067 15463 16403 17101 27307 28967 108241 114821 183347 191149 202769 770941 803747 1283429 1361449 1419383 5396587 8984003 9530143 37776109 63988103 66711001 447916721 3135417047