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18506337444 = 223272412792
BaseRepresentation
bin10001001111000100…
…000100110010100100
31202202201221100102100
4101033010010302210
5300400110244234
612300211012100
71223414162400
oct211704046244
952681840370
1018506337444
117937388261
12370589a030
13198c0c413a
14c77b92100
15734a74399
hex44f104ca4

18506337444 has 243 divisors, whose sum is σ = 56492047521. Its totient is φ = 5093262720.

The previous prime is 18506337391. The next prime is 18506337461. The reversal of 18506337444 is 44473360581.

The square root of 18506337444 is 136038.

It is a perfect power (a square), and thus also a powerful number.

18506337444 is a `hidden beast` number, since 1 + 8 + 5 + 0 + 633 + 7 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 891739044 + 17614598400 = 29862^2 + 132720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18506337444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 234257397 + ... + 234257475.

Almost surely, 218506337444 is an apocalyptic number.

18506337444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18506337444 is the 136038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18506337444

18506337444 is an abundant number, since it is smaller than the sum of its proper divisors (37985710077).

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

18506337444 is a wasteful number, since it uses less digits than its factorization.

18506337444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 18506337444 in words is "eighteen billion, five hundred six million, three hundred thirty-seven thousand, four hundred forty-four".