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127126086009 = 3132733434819
BaseRepresentation
bin111011001100101001…
…1100010000101111001
3110011010122011021202220
41312121103202011321
54040323234223014
6134222333114253
712120205621236
oct1663123420571
9404118137686
10127126086009
1149a063a7aaa
122077a328989
13bcac668400
14621d92478d
1534908c86a9
hex1d994e2179

127126086009 has 24 divisors (see below), whose sum is σ = 186057329760. Its totient is φ = 77159751552.

The previous prime is 127126085993. The next prime is 127126086149. The reversal of 127126086009 is 900680621721.

It is not a de Polignac number, because 127126086009 - 24 = 127126085993 is a prime.

It is a super-2 number, since 2×1271260860092 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127126016009) 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 23 ways as a sum of consecutive naturals, for example, 1680399 + ... + 1754420.

It is an arithmetic number, because the mean of its divisors is an integer number (7752388740).

Almost surely, 2127126086009 is an apocalyptic number.

It is an amenable number.

127126086009 is a deficient number, since it is larger than the sum of its proper divisors (58931243751).

127126086009 is a wasteful number, since it uses less digits than its factorization.

127126086009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434921 (or 3434908 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 127126086009 in words is "one hundred twenty-seven billion, one hundred twenty-six million, eighty-six thousand, nine".

Divisors: 1 3 13 39 73 169 219 507 949 2847 12337 37011 3434819 10304457 44652647 133957941 250741787 580484411 752225361 1741453233 3259643231 9778929693 42375362003 127126086009