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181128429081 = 323112730716651
BaseRepresentation
bin1010100010110000011…
…0000111111000011001
3122022112011002112221100
42220230012013320121
510431422334212311
6215113110502013
716041350146545
oct2505406077031
9568464075840
10181128429081
116a8a83046a6
122b12b664909
131410766a172
148aa3a18a25
154aa1807a56
hex2a2c187e19

181128429081 has 48 divisors (see below), whose sum is σ = 273099194368. Its totient is φ = 115552332000.

The previous prime is 181128429073. The next prime is 181128429103. The reversal of 181128429081 is 180924821181.

It is a happy number.

181128429081 is a `hidden beast` number, since 1 + 8 + 1 + 1 + 284 + 290 + 81 = 666.

It is not a de Polignac number, because 181128429081 - 23 = 181128429073 is a prime.

It is a super-2 number, since 2×1811284290812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (181128422081) 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 47 ways as a sum of consecutive naturals, for example, 10869606 + ... + 10886256.

Almost surely, 2181128429081 is an apocalyptic number.

It is an amenable number.

181128429081 is a deficient number, since it is larger than the sum of its proper divisors (91970765287).

181128429081 is a wasteful number, since it uses less digits than its factorization.

181128429081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17122 (or 17119 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 181128429081 in words is "one hundred eighty-one billion, one hundred twenty-eight million, four hundred twenty-nine thousand, eighty-one".

Divisors: 1 3 9 31 93 127 279 307 381 921 1143 2763 3937 9517 11811 16651 28551 35433 38989 49953 85653 116967 149859 350901 516181 1208659 1548543 2114677 3625977 4645629 5111857 6344031 10877931 15335571 19032093 46006713 65554987 158467567 196664961 475402701 589994883 649205839 1426208103 1947617517 5842852551 20125381009 60376143027 181128429081