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83043677929 = 1922925232
BaseRepresentation
bin100110101010111001…
…0011111011011101001
321221100110022221012011
41031111302133123221
52330033140143204
6102052202115521
75666620421122
oct1152562373351
9257313287164
1083043677929
1132244a9a393
12141171abba1
137aa589cc84
14403b0b1049
1522607de304
hex1355c9f6e9

83043677929 has 27 divisors (see below), whose sum is σ = 90944762103. Its totient is φ = 75814858224.

The previous prime is 83043677911. The next prime is 83043677947. The reversal of 83043677929 is 92977634038.

The square root of 83043677929 is 288173.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (83043677911) and next prime (83043677947).

It can be written as a sum of positive squares in only one way, i.e., 43546090329 + 39497587600 = 208677^2 + 198740^2 .

It is not a de Polignac number, because 83043677929 - 215 = 83043645161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83043677999) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 158783062 + ... + 158783584.

Almost surely, 283043677929 is an apocalyptic number.

83043677929 is the 288173-rd square number.

83043677929 is the 144087-th centered octagonal number.

It is an amenable number.

83043677929 is a deficient number, since it is larger than the sum of its proper divisors (7901084174).

83043677929 is an frugal number, since it uses more digits than its factorization.

83043677929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 58.

The spelling of 83043677929 in words is "eighty-three billion, forty-three million, six hundred seventy-seven thousand, nine hundred twenty-nine".

Divisors: 1 19 29 361 523 551 841 9937 10469 15167 15979 188803 273529 288173 303601 439843 5197051 5475287 7932341 8357017 98743969 150714479 158783323 230037889 2863575101 4370719891 83043677929