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127538023032 = 233271913318507
BaseRepresentation
bin111011011000111011…
…0111100101001111000
3110012012100021212010200
41312301312330221320
54042144213214112
6134331250242200
712133340210640
oct1666166745170
9405170255120
10127538023032
114a0a7986422
1220874286360
13c046ac9124
14625c515520
1534b6b48cdc
hex1db1dbca78

127538023032 has 96 divisors (see below), whose sum is σ = 415537449600. Its totient is φ = 34521567552.

The previous prime is 127538023031. The next prime is 127538023037. The reversal of 127538023032 is 230320835721.

127538023032 is a `hidden beast` number, since 1 + 275 + 3 + 80 + 2 + 303 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127538023031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6649678 + ... + 6668829.

It is an arithmetic number, because the mean of its divisors is an integer number (4328515100).

Almost surely, 2127538023032 is an apocalyptic number.

127538023032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127538023032 is an abundant number, since it is smaller than the sum of its proper divisors (287999426568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127538023032 is a wasteful number, since it uses less digits than its factorization.

127538023032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13318545 (or 13318538 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 127538023032 its reverse (230320835721), we get a palindrome (357858858753).

The spelling of 127538023032 in words is "one hundred twenty-seven billion, five hundred thirty-eight million, twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 13318507 26637014 39955521 53274028 79911042 93229549 106548056 119866563 159822084 186459098 239733126 253051633 279688647 319644168 372918196 479466252 506103266 559377294 745836392 759154899 839065941 958932504 1012206532 1118754588 1518309798 1678131882 1771361431 2024413064 2237509176 2277464697 3036619596 3356263764 3542722862 4554929394 5314084293 6073239192 6712527528 7085445724 9109858788 10628168586 14170891448 15942252879 18219717576 21256337172 31884505758 42512674344 63769011516 127538023032