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75268853172 = 223219110042183
BaseRepresentation
bin100011000011001011…
…1111000110110110100
321012021121121220122200
41012012113320312310
52213122311300142
654324504424500
75303142460422
oct1060627706664
9235247556580
1075268853172
1129a1533a487
1212707478130
137136bba056
1439006a0112
151e57e7264c
hex11865f8db4

75268853172 has 36 divisors (see below), whose sum is σ = 200276774880. Its totient is φ = 23769111312.

The previous prime is 75268853171. The next prime is 75268853201. The reversal of 75268853172 is 27135886257.

75268853172 is a `hidden beast` number, since 7 + 5 + 26 + 88 + 531 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×752688531723 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75268853171) 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 11 ways as a sum of consecutive naturals, for example, 55020408 + ... + 55021775.

Almost surely, 275268853172 is an apocalyptic number.

It is an amenable number.

75268853172 is an abundant number, since it is smaller than the sum of its proper divisors (125007921708).

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

75268853172 is a wasteful number, since it uses less digits than its factorization.

75268853172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110042212 (or 110042207 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 75268853172 in words is "seventy-five billion, two hundred sixty-eight million, eight hundred fifty-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 110042183 220084366 330126549 440168732 660253098 990379647 1320506196 1980759294 2090801477 3961518588 4181602954 6272404431 8363205908 12544808862 18817213293 25089617724 37634426586 75268853172