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18163912144 = 247198535673
BaseRepresentation
bin10000111010101001…
…110100110111010000
31201212212121100012211
4100322221310313100
5244144430142034
612202215401504
71212055464040
oct207251646720
951785540184
1018163912144
117781067044
12362b083294
131936190911
14c444d7720
15714984d64
hex43aa74dd0

18163912144 has 40 divisors (see below), whose sum is σ = 42336943040. Its totient is φ = 7374820608.

The previous prime is 18163912141. The next prime is 18163912177. The reversal of 18163912144 is 44121936181.

It is a happy number.

It is a super-3 number, since 3×181639121443 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18163912097 and 18163912106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18163912141) 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 7 ways as a sum of consecutive naturals, for example, 4265709 + ... + 4269964.

It is an arithmetic number, because the mean of its divisors is an integer number (1058423576).

Almost surely, 218163912144 is an apocalyptic number.

18163912144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18163912144 is an abundant number, since it is smaller than the sum of its proper divisors (24173030896).

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

18163912144 is a wasteful number, since it uses less digits than its factorization.

18163912144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8535707 (or 8535701 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The spelling of 18163912144 in words is "eighteen billion, one hundred sixty-three million, nine hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 8535673 17071346 34142692 59749711 68285384 119499422 136570768 162177787 238998844 324355574 477997688 648711148 955995376 1135244509 1297422296 2270489018 2594844592 4540978036 9081956072 18163912144