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127433162960 = 2451592914537
BaseRepresentation
bin111011010101110011…
…0111100000011010000
3110011221000222102011022
41312223212330003100
54041440342203320
6134313022535012
712130625004305
oct1665346740320
9404830872138
10127433162960
114a053775504
1220845137468
13c02b17344c
14624c61b0ac
1534ac834325
hex1dab9bc0d0

127433162960 has 20 divisors (see below), whose sum is σ = 296282104068. Its totient is φ = 50973265152.

The previous prime is 127433162957. The next prime is 127433162977. The reversal of 127433162960 is 69261334721.

127433162960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 75352446016 + 52080716944 = 274504^2 + 228212^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1274331629602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 796457189 + ... + 796457348.

Almost surely, 2127433162960 is an apocalyptic number.

127433162960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127433162960 is an abundant number, since it is smaller than the sum of its proper divisors (168848941108).

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

127433162960 is a wasteful number, since it uses less digits than its factorization.

127433162960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592914550 (or 1592914544 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The spelling of 127433162960 in words is "one hundred twenty-seven billion, four hundred thirty-three million, one hundred sixty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1592914537 3185829074 6371658148 7964572685 12743316296 15929145370 25486632592 31858290740 63716581480 127433162960