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18855230592121 = 72112563932
BaseRepresentation
bin1000100100110000100110…
…10100100101010001111001
32110202112122102212011210021
410102120103110211101321
54432411003012421441
6104033550124450441
73654150122426200
oct422302324452171
973675572764707
1018855230592121
11600a505129300
12214632a6a9a21
13a6a06b303291
14492852dcc237
1522a703d453d1
hex112613525479

18855230592121 has 27 divisors (see below), whose sum is σ = 24109299696783. Its totient is φ = 14692126938720.

The previous prime is 18855230592073. The next prime is 18855230592131. The reversal of 18855230592121 is 12129503255881.

The square root of 18855230592121 is 4342261.

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

It can be written as a sum of positive squares in only one way, i.e., 6651834183225 + 12203396408896 = 2579115^2 + 3493336^2 .

It is not a de Polignac number, because 18855230592121 - 29 = 18855230591609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18855230592131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 334325901 + ... + 334382293.

Almost surely, 218855230592121 is an apocalyptic number.

18855230592121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

18855230592121 is the 4342261-st square number.

18855230592121 is the 2171131-st centered octagonal number.

It is an amenable number.

18855230592121 is a deficient number, since it is larger than the sum of its proper divisors (5254069104662).

18855230592121 is an frugal number, since it uses more digits than its factorization.

18855230592121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112822 (or 56411 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 52.

The spelling of 18855230592121 in words is "eighteen trillion, eight hundred fifty-five billion, two hundred thirty million, five hundred ninety-two thousand, one hundred twenty-one".

Divisors: 1 7 11 49 77 121 539 847 5929 56393 394751 620323 2763257 4342261 6823553 30395827 47764871 334354097 3180170449 22261193143 34981874939 155828352001 244873124573 384800624329 1714111872011 2693604370303 18855230592121