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1716044980441 = 1121190892
BaseRepresentation
bin11000111110001100010…
…000000110000011011001
320002001102010101021120211
4120332030100012003121
5211103430003333231
63352201251251121
7234660123443131
oct30761420060331
96061363337524
101716044980441
11601852721900
122386b7ba9aa1
13c5a8c90a43c
145d0b266bac1
152e98924beb1
hex18f8c4060d9

1716044980441 has 9 divisors (see below), whose sum is σ = 1886247098463. Its totient is φ = 1560027791520.

The previous prime is 1716044980427. The next prime is 1716044980453. The reversal of 1716044980441 is 1440894406171.

The square root of 1716044980441 is 1309979.

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., 1712358062041 + 3686918400 = 1308571^2 + 60720^2 .

It is not a de Polignac number, because 1716044980441 - 223 = 1716036591833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1716044980141) 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, 14350225 + ... + 14469313.

Almost surely, 21716044980441 is an apocalyptic number.

1716044980441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1716044980441 is the 1309979-th square number.

1716044980441 is the 654990-th centered octagonal number.

It is an amenable number.

1716044980441 is a deficient number, since it is larger than the sum of its proper divisors (170202118022).

1716044980441 is an frugal number, since it uses more digits than its factorization.

1716044980441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238200 (or 119100 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 1716044980441 by its sum of digits (49), we get a square (84086204041609 = 91698532).

The spelling of 1716044980441 in words is "one trillion, seven hundred sixteen billion, forty-four million, nine hundred eighty thousand, four hundred forty-one".

Divisors: 1 11 121 119089 1309979 14409769 14182189921 156004089131 1716044980441