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117512827505 = 51737137272737
BaseRepresentation
bin110110101110001001…
…1110111001001110001
3102020022200010011020122
41231130103313021301
53411131240440010
6125552403420025
711330035360433
oct1553423671161
9366280104218
10117512827505
1145922a22667
121a936984615
13b109b29778
14598acb4653
1530cb960855
hex1b5c4f7271

117512827505 has 32 divisors (see below), whose sum is σ = 154465711776. Its totient is φ = 85460189184.

The previous prime is 117512827469. The next prime is 117512827507. The reversal of 117512827505 is 505728215711.

It can be written as a sum of positive squares in 16 ways, for example, as 8928738064 + 108584089441 = 94492^2 + 329521^2 .

It is not a de Polignac number, because 117512827505 - 210 = 117512826481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117512827507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294497 + ... + 567233.

It is an arithmetic number, because the mean of its divisors is an integer number (4827053493).

Almost surely, 2117512827505 is an apocalyptic number.

It is an amenable number.

117512827505 is a deficient number, since it is larger than the sum of its proper divisors (36952884271).

117512827505 is a wasteful number, since it uses less digits than its factorization.

117512827505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272933.

The product of its (nonzero) digits is 196000, while the sum is 44.

The spelling of 117512827505 in words is "one hundred seventeen billion, five hundred twelve million, eight hundred twenty-seven thousand, five hundred five".

Divisors: 1 5 17 37 85 137 185 629 685 2329 3145 5069 11645 25345 86173 272737 430865 1363685 4636529 10091269 23182645 37364969 50456345 171551573 186824845 635204473 857757865 1382503853 3176022365 6912519265 23502565501 117512827505