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17978250889 = 19270572
BaseRepresentation
bin10000101111100101…
…100101011010001001
31201101221020202212001
4100233211211122021
5243304413012024
612131544151001
71204342416424
oct205745453211
951357222761
1017978250889
117696287a95
123598a68461
131906886ca1
14c279a89bb
1570350e244
hex42f965689

17978250889 has 9 divisors (see below), whose sum is σ = 18976964967. Its totient is φ = 17029613664.

The previous prime is 17978250883. The next prime is 17978250931. The reversal of 17978250889 is 98805287971.

The square root of 17978250889 is 134083.

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., 17968062025 + 10188864 = 134045^2 + 3192^2 .

It is not a de Polignac number, because 17978250889 - 29 = 17978250377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 17978250889.

It is not an unprimeable number, because it can be changed into a prime (17978250883) 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 8 ways as a sum of consecutive naturals, for example, 2544049 + ... + 2551105.

It is an arithmetic number, because the mean of its divisors is an integer number (2108551663).

Almost surely, 217978250889 is an apocalyptic number.

17978250889 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

17978250889 is the 134083-rd square number.

17978250889 is the 67042-nd centered octagonal number.

It is an amenable number.

17978250889 is a deficient number, since it is larger than the sum of its proper divisors (998714078).

17978250889 is an frugal number, since it uses more digits than its factorization.

17978250889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14152 (or 7076 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 64.

Multiplying 17978250889 by its sum of digits (64), we get a square (1150608056896 = 10726642).

The spelling of 17978250889 in words is "seventeen billion, nine hundred seventy-eight million, two hundred fifty thousand, eight hundred eighty-nine".

Divisors: 1 19 361 7057 134083 2547577 49801249 946223731 17978250889