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18840582121 = 31724332
BaseRepresentation
bin10001100010111111…
…000111011111101001
31210122000212201220211
4101202333013133221
5302041142111441
612353311021121
71234613206564
oct214277073751
953560781824
1018840582121
117a99021229
12379980a7a1
131a13421c5a
14caa31b4db
15754099a81
hex462fc77e9

18840582121 has 9 divisors (see below), whose sum is σ = 18943953861. Its totient is φ = 18737773632.

The previous prime is 18840582109. The next prime is 18840582143. The reversal of 18840582121 is 12128504881.

The square root of 18840582121 is 137261.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13176514521 + 5664067600 = 114789^2 + 75260^2 .

It is not a de Polignac number, because 18840582121 - 29 = 18840581609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18840582161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43511521 + ... + 43511953.

Almost surely, 218840582121 is an apocalyptic number.

18840582121 is the 137261-st square number.

18840582121 is the 68631-st centered octagonal number.

It is an amenable number.

18840582121 is a deficient number, since it is larger than the sum of its proper divisors (103371740).

18840582121 is an frugal number, since it uses more digits than its factorization.

18840582121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 40.

The spelling of 18840582121 in words is "eighteen billion, eight hundred forty million, five hundred eighty-two thousand, one hundred twenty-one".

Divisors: 1 317 433 100489 137261 187489 43511737 59434013 18840582121