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17872213969 = 43231092
BaseRepresentation
bin10000101001010001…
…000101011111010001
31201010112201112112201
4100221101011133101
5243100241321334
612113235323201
71201614212041
oct205121053721
951115645481
1017872213969
117641442975
123569450501
1318ba90b74c
14c17885721
156e9065c14
hex4294457d1

17872213969 has 9 divisors (see below), whose sum is σ = 18303399963. Its totient is φ = 17450966232.

The previous prime is 17872213949. The next prime is 17872213999. The reversal of 17872213969 is 96931227871.

It is a happy number.

The square root of 17872213969 is 133687.

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., 3168226369 + 14703987600 = 56287^2 + 121260^2 .

It is not a de Polignac number, because 17872213969 - 211 = 17872211921 is a prime.

It is a super-2 number, since 2×178722139692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17872213939) 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, 5746987 + ... + 5750095.

It is an arithmetic number, because the mean of its divisors is an integer number (2033711107).

Almost surely, 217872213969 is an apocalyptic number.

17872213969 is the 133687-th square number.

17872213969 is the 66844-th centered octagonal number.

It is an amenable number.

17872213969 is a deficient number, since it is larger than the sum of its proper divisors (431185994).

17872213969 is an frugal number, since it uses more digits than its factorization.

17872213969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6304 (or 3152 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 55.

The spelling of 17872213969 in words is "seventeen billion, eight hundred seventy-two million, two hundred thirteen thousand, nine hundred sixty-nine".

Divisors: 1 43 1849 3109 133687 5748541 9665881 415632883 17872213969