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67936127249 = 232128423681
BaseRepresentation
bin111111010001010011…
…110000100100010001
320111100120210211201002
4333101103300210101
52103113122032444
651113122551345
74623343360634
oct772123604421
9214316724632
1067936127249
11268a2199a11
12111bb808555
136538998683
143406891c1b
151b79332d4e
hexfd14f0911

67936127249 has 6 divisors (see below), whose sum is σ = 71018296146. Its totient is φ = 64982382080.

The previous prime is 67936127201. The next prime is 67936127251. The reversal of 67936127249 is 94272163976.

It can be written as a sum of positive squares in only one way, i.e., 50391270400 + 17544856849 = 224480^2 + 132457^2 .

It is not a de Polignac number, because 67936127249 - 212 = 67936123153 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 67936127194 and 67936127203.

It is not an unprimeable number, because it can be changed into a prime (67936157249) 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 5 ways as a sum of consecutive naturals, for example, 64211312 + ... + 64212369.

It is an arithmetic number, because the mean of its divisors is an integer number (11836382691).

Almost surely, 267936127249 is an apocalyptic number.

It is an amenable number.

67936127249 is a deficient number, since it is larger than the sum of its proper divisors (3082168897).

67936127249 is a wasteful number, since it uses less digits than its factorization.

67936127249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128423727 (or 128423704 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 56.

The spelling of 67936127249 in words is "sixty-seven billion, nine hundred thirty-six million, one hundred twenty-seven thousand, two hundred forty-nine".

Divisors: 1 23 529 128423681 2953744663 67936127249