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983403438889 = 194412672
BaseRepresentation
bin11100100111101110110…
…10011010001100101001
310111000100002001202200111
432103313122122030221
5112103002240021024
62031434100334321
7131022440211334
oct16236732321451
93430302052614
10983403438889
1134a071670993
1213a70b9a43a1
1371971a4c091
143585018561b
151a8a96d1a94
hexe4f769a329

983403438889 has 45 divisors (see below), whose sum is σ = 1080089216871. Its totient is φ = 895356300960.

The previous prime is 983403438883. The next prime is 983403438893. The reversal of 983403438889 is 988834304389.

The square root of 983403438889 is 991667.

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., 47385888489 + 936017550400 = 217683^2 + 967480^2 .

It is not a de Polignac number, because 983403438889 - 237 = 845964485417 is a prime.

It is a super-2 number, since 2×9834034388892 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (983403438883) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14677663234 + ... + 14677663300.

Almost surely, 2983403438889 is an apocalyptic number.

983403438889 is the 991667-th square number.

983403438889 is the 495834-th centered octagonal number.

It is an amenable number.

983403438889 is a deficient number, since it is larger than the sum of its proper divisors (96685777982).

983403438889 is an frugal number, since it uses more digits than its factorization.

983403438889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 67.

The spelling of 983403438889 in words is "nine hundred eighty-three billion, four hundred three million, four hundred thirty-eight thousand, eight hundred eighty-nine".

Divisors: 1 19 41 67 361 779 1273 1681 2747 4489 6859 14801 24187 31939 52193 85291 112627 130321 184049 281219 459553 606841 991667 1620529 2139913 3496931 5343161 7546009 8731507 11529979 18841673 30790051 40658347 66441689 143374171 219069601 357991787 585010969 772508593 1262392091 2724109249 14677663267 23985449729 51758075731 983403438889