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3973128309 = 324093107857
BaseRepresentation
bin1110110011010001…
…0010000001110101
3101020220010211102100
43230310102001311
531114110101214
61454125532313
7200313014313
oct35464220165
911226124370
103973128309
111759800117
1292a714099
134b41a35c7
1429995b0b3
15183c18309
hexecd12075

3973128309 has 12 divisors (see below), whose sum is σ = 5740418476. Its totient is φ = 2648080512.

The previous prime is 3973128241. The next prime is 3973128373. The reversal of 3973128309 is 9038213793.

It can be written as a sum of positive squares in 2 ways, for example, as 1417522500 + 2555605809 = 37650^2 + 50553^2 .

It is not a de Polignac number, because 3973128309 - 28 = 3973128053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973128389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17092 + ... + 90765.

Almost surely, 23973128309 is an apocalyptic number.

It is an amenable number.

3973128309 is a deficient number, since it is larger than the sum of its proper divisors (1767290167).

3973128309 is a wasteful number, since it uses less digits than its factorization.

3973128309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111956 (or 111953 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3973128309 is about 63032.7558417050. The cubic root of 3973128309 is about 1583.8383828927.

The spelling of 3973128309 in words is "three billion, nine hundred seventy-three million, one hundred twenty-eight thousand, three hundred nine".

Divisors: 1 3 9 4093 12279 36837 107857 323571 970713 441458701 1324376103 3973128309