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127042753669 = 13173715536597
BaseRepresentation
bin111011001010001010…
…1101001010010000101
3110010220211100120021221
41312110111221102011
54040140421104134
6134210155040341
712115144405636
oct1662425512205
9403824316257
10127042753669
11499733601a7
12207564400b1
13bc9830c330
14621283188d
1534884175b4
hex1d94569485

127042753669 has 16 divisors (see below), whose sum is σ = 148778462448. Its totient is φ = 107388951552.

The previous prime is 127042753631. The next prime is 127042753687. The reversal of 127042753669 is 966357240721.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6884850625 + 120157903044 = 82975^2 + 346638^2 .

It is not a de Polignac number, because 127042753669 - 225 = 127009199237 is a prime.

It is a super-2 number, since 2×1270427536692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127042753619) 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 15 ways as a sum of consecutive naturals, for example, 7760122 + ... + 7776475.

It is an arithmetic number, because the mean of its divisors is an integer number (9298653903).

Almost surely, 2127042753669 is an apocalyptic number.

It is an amenable number.

127042753669 is a deficient number, since it is larger than the sum of its proper divisors (21735708779).

127042753669 is a wasteful number, since it uses less digits than its factorization.

127042753669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15536664.

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 127042753669 in words is "one hundred twenty-seven billion, forty-two million, seven hundred fifty-three thousand, six hundred sixty-nine".

Divisors: 1 13 17 37 221 481 629 8177 15536597 201975761 264122149 574854089 3433587937 7473103157 9772519513 127042753669