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18072619677 = 3272401102197
BaseRepresentation
bin10000110101001101…
…100100101010011101
31201122111211012111100
4100311031210222131
5244003042312202
612145154543313
71206566506200
oct206515445235
951574735440
1018072619677
117734582722
123604597b39
1319202a85c8
14c36331937
1570b95041c
hex435364a9d

18072619677 has 36 divisors (see below), whose sum is σ = 30442944636. Its totient is φ = 10301356800.

The previous prime is 18072619667. The next prime is 18072619703. The reversal of 18072619677 is 77691627081.

18072619677 is a `hidden beast` number, since 18 + 0 + 7 + 2 + 619 + 6 + 7 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16658032356 + 1414587321 = 129066^2 + 37611^2 .

It is not a de Polignac number, because 18072619677 - 210 = 18072618653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18072619667) 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 35 ways as a sum of consecutive naturals, for example, 125743 + ... + 227939.

It is an arithmetic number, because the mean of its divisors is an integer number (845637351).

Almost surely, 218072619677 is an apocalyptic number.

It is an amenable number.

18072619677 is a deficient number, since it is larger than the sum of its proper divisors (12370324959).

18072619677 is a wasteful number, since it uses less digits than its factorization.

18072619677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102618 (or 102608 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 18072619677 in words is "eighteen billion, seventy-two million, six hundred nineteen thousand, six hundred seventy-seven".

Divisors: 1 3 7 9 21 49 63 147 401 441 1203 2807 3609 8421 19649 25263 58947 102197 176841 306591 715379 919773 2146137 5007653 6438411 15022959 40980997 45068877 122942991 286866979 368828973 860600937 2008068853 2581802811 6024206559 18072619677