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1983486339769 = 1121280332
BaseRepresentation
bin11100110111010000111…
…111111010101010111001
321000121201120110222210111
4130313100333322222321
5224444140000333034
64115111231544321
7263205432465034
oct34672077725271
97017646428714
101983486339769
116a5212369500
122804b568b0a1
1311507125249c
146c00360c01b
15368dd371364
hex1cdd0ffaab9

1983486339769 has 9 divisors (see below), whose sum is σ = 2180212757359. Its totient is φ = 1803155316160.

The previous prime is 1983486339767. The next prime is 1983486339773. The reversal of 1983486339769 is 9679336843891.

It is a happy number.

The square root of 1983486339769 is 1408363.

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., 918693495225 + 1064792844544 = 958485^2 + 1031888^2 .

It is not a de Polignac number, because 1983486339769 - 21 = 1983486339767 is a prime.

It is a super-3 number, since 3×19834863397693 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1983486339695 and 1983486339704.

It is not an unprimeable number, because it can be changed into a prime (1983486339763) 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, 15427977 + ... + 15556009.

Almost surely, 21983486339769 is an apocalyptic number.

1983486339769 is the 1408363-rd square number.

1983486339769 is the 704182-nd centered octagonal number.

It is an amenable number.

1983486339769 is a deficient number, since it is larger than the sum of its proper divisors (196726417590).

1983486339769 is an frugal number, since it uses more digits than its factorization.

1983486339769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256088 (or 128044 counting only the distinct ones).

The product of its digits is 1269789696, while the sum is 76.

The spelling of 1983486339769 in words is "one trillion, nine hundred eighty-three billion, four hundred eighty-six million, three hundred thirty-nine thousand, seven hundred sixty-nine".

Divisors: 1 11 121 128033 1408363 15491993 16392449089 180316939979 1983486339769