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6981132137 = 71493667987
BaseRepresentation
bin1101000000001101…
…11001111101101001
3200000112020020221112
412200012321331221
5103244132212022
63112421520105
7334666433630
oct64006717551
920015206845
106981132137
112a627379a1
121429b73035
1387342ac25
144a3248517
152acd3d8e2
hex1a01b9f69

6981132137 has 8 divisors (see below), whose sum is σ = 7983792576. Its totient is φ = 5979810672.

The previous prime is 6981132121. The next prime is 6981132149. The reversal of 6981132137 is 7312311896.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6981132137 - 24 = 6981132121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6981132094 and 6981132103.

It is not an unprimeable number, because it can be changed into a prime (6981132157) 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 7 ways as a sum of consecutive naturals, for example, 323543 + ... + 344444.

It is an arithmetic number, because the mean of its divisors is an integer number (997974072).

Almost surely, 26981132137 is an apocalyptic number.

It is an amenable number.

6981132137 is a deficient number, since it is larger than the sum of its proper divisors (1002660439).

6981132137 is a wasteful number, since it uses less digits than its factorization.

6981132137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669487.

The product of its digits is 54432, while the sum is 41.

The square root of 6981132137 is about 83553.1695209703. The cubic root of 6981132137 is about 1911.2109256043.

The spelling of 6981132137 in words is "six billion, nine hundred eighty-one million, one hundred thirty-two thousand, one hundred thirty-seven".

Divisors: 1 7 1493 10451 667987 4675909 997304591 6981132137