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1939304122921 = 1141726772
BaseRepresentation
bin11100001110000111100…
…010001000101000101001
320212101200102211211022201
4130032013202020220221
5223233143323413141
64042523133420201
7260052523030144
oct34160742105051
96771612754281
101939304122921
116884aa690000
12273a2503a661
13110b4c8ac5c9
1469c1181705b
15356a461e031
hex1c387888a29

1939304122921 has 45 divisors (see below), whose sum is σ = 2269438474645. Its totient is φ = 1656846688640.

The previous prime is 1939304122907. The next prime is 1939304122933. The reversal of 1939304122921 is 1292214039391.

The square root of 1939304122921 is 1392589.

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 1380129194521 + 559174928400 = 1174789^2 + 747780^2 .

It is a de Polignac number, because none of the positive numbers 2k-1939304122921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1939304122961) 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 44 ways as a sum of consecutive naturals, for example, 2864555235 + ... + 2864555911.

Almost surely, 21939304122921 is an apocalyptic number.

1939304122921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1939304122921 is the 1392589-th square number.

1939304122921 is the 696295-th centered octagonal number.

It is an amenable number.

1939304122921 is a deficient number, since it is larger than the sum of its proper divisors (330134351724).

1939304122921 is an frugal number, since it uses more digits than its factorization.

1939304122921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The spelling of 1939304122921 in words is "one trillion, nine hundred thirty-nine billion, three hundred four million, one hundred twenty-two thousand, nine hundred twenty-one".

Divisors: 1 11 17 121 187 289 677 1331 2057 3179 7447 11509 14641 22627 34969 81917 126599 195653 248897 384659 458329 901087 1392589 2152183 4231249 5041619 7791593 9911957 15318479 23674013 55457809 85707523 132457081 168503269 260414143 610035899 942782753 1457027891 2864555573 6710394889 10370610283 16027306801 114076713113 176300374811 1939304122921