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11347714400337 = 337144194164007
BaseRepresentation
bin1010010100100001100001…
…1111000110000001010001
31111011211102201122101101000
42211020120133012001101
52441410104341302322
640045022405532213
72250562640624610
oct245103037060121
944154381571330
1011347714400337
1136855a1a43417
12133331a714069
1364411461cc33
142b3337647877
1514a2a7c333ac
hexa52187c6051

11347714400337 has 32 divisors (see below), whose sum is σ = 19214398515200. Its totient is φ = 6483956958864.

The previous prime is 11347714400273. The next prime is 11347714400339. The reversal of 11347714400337 is 73300441774311.

11347714400337 is a `hidden beast` number, since 1 + 1 + 3 + 477 + 144 + 0 + 0 + 3 + 37 = 666.

It is not a de Polignac number, because 11347714400337 - 26 = 11347714400273 is a prime.

It is a super-2 number, since 2×113477144003372 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11347714400292 and 11347714400301.

It is not an unprimeable number, because it can be changed into a prime (11347714400339) 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 31 ways as a sum of consecutive naturals, for example, 643188 + ... + 4807194.

It is an arithmetic number, because the mean of its divisors is an integer number (600449953600).

Almost surely, 211347714400337 is an apocalyptic number.

It is an amenable number.

11347714400337 is a deficient number, since it is larger than the sum of its proper divisors (7866684114863).

11347714400337 is a wasteful number, since it uses less digits than its factorization.

11347714400337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178442 (or 4178436 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 11347714400337 in words is "eleven trillion, three hundred forty-seven billion, seven hundred fourteen million, four hundred thousand, three hundred thirty-seven".

Divisors: 1 3 7 9 21 27 63 189 14419 43257 100933 129771 302799 389313 908397 2725191 4164007 12492021 29148049 37476063 87444147 112428189 262332441 786997323 60040816933 180122450799 420285718531 540367352397 1260857155593 1621102057191 3782571466779 11347714400337