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3966328449 = 3223314713151
BaseRepresentation
bin1110110001101001…
…0101111010000001
3101020102100100202200
43230122111322001
531110340002244
61453324103413
7200201143536
oct35432257201
911212310680
103966328449
1117559862a6
12928394b69
134b2962515
14298aaad8d
15183323669
hexec695e81

3966328449 has 48 divisors (see below), whose sum is σ = 6302859264. Its totient is φ = 2395404000.

The previous prime is 3966328447. The next prime is 3966328453. The reversal of 3966328449 is 9448236693.

3966328449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3966328449 - 21 = 3966328447 is a prime.

It is a super-2 number, since 2×39663284492 = 31463522730693491202, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3966328395 and 3966328404.

It is not an unprimeable number, because it can be changed into a prime (3966328441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295024 + ... + 308174.

It is an arithmetic number, because the mean of its divisors is an integer number (131309568).

Almost surely, 23966328449 is an apocalyptic number.

It is an amenable number.

3966328449 is a deficient number, since it is larger than the sum of its proper divisors (2336530815).

3966328449 is a wasteful number, since it uses less digits than its factorization.

3966328449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13258 (or 13255 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 3966328449 is about 62978.7936451628. The cubic root of 3966328449 is about 1582.9343069473.

The spelling of 3966328449 in words is "three billion, nine hundred sixty-six million, three hundred twenty-eight thousand, four hundred forty-nine".

Divisors: 1 3 9 23 31 47 69 93 141 207 279 423 713 1081 1457 2139 3243 4371 6417 9729 13113 13151 33511 39453 100533 118359 301599 302473 407681 618097 907419 1223043 1854291 2722257 3669129 5562873 9376663 14216231 19161007 28129989 42648693 57483021 84389967 127946079 172449063 440703161 1322109483 3966328449