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18782409285 = 3251724552169
BaseRepresentation
bin10001011111100001…
…001101001001000101
31210110222102020210100
4101133201031021011
5301431244044120
612343432114313
71233305562513
oct213741151105
953428366710
1018782409285
117a691a9102
123782235999
131a04364863
14ca26d74b3
1574de08490
hex45f84d245

18782409285 has 24 divisors (see below), whose sum is σ = 34471246680. Its totient is φ = 9428032512.

The previous prime is 18782409241. The next prime is 18782409287. The reversal of 18782409285 is 58290428781.

18782409285 is a `hidden beast` number, since 1 + 87 + 82 + 409 + 2 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10782537921 + 7999871364 = 103839^2 + 89442^2 .

It is not a de Polignac number, because 18782409285 - 27 = 18782409157 is a prime.

It is a super-2 number, since 2×187824092852 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18782409287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12275320 + ... + 12276849.

It is an arithmetic number, because the mean of its divisors is an integer number (1436301945).

Almost surely, 218782409285 is an apocalyptic number.

18782409285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18782409285 is a deficient number, since it is larger than the sum of its proper divisors (15688837395).

18782409285 is a wasteful number, since it uses less digits than its factorization.

18782409285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24552197 (or 24552194 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 18782409285 in words is "eighteen billion, seven hundred eighty-two million, four hundred nine thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 24552169 73656507 122760845 220969521 368282535 417386873 1104847605 1252160619 2086934365 3756481857 6260803095 18782409285