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1339448985 = 325719211779
BaseRepresentation
bin100111111010110…
…0101111010011001
310110100102001120200
41033311211322121
510220344331420
6340525012413
745123062040
oct11765457231
93410361520
101339448985
116280a1936
123146b4109
1318466aa84
14c9c6d557
157c8d3b90
hex4fd65e99

1339448985 has 72 divisors (see below), whose sum is σ = 2800624320. Its totient is φ = 580042944.

The previous prime is 1339448959. The next prime is 1339449017. The reversal of 1339448985 is 5898449331.

1339448985 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1339448985 - 215 = 1339416217 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107826 + ... + 119604.

It is an arithmetic number, because the mean of its divisors is an integer number (38897560).

Almost surely, 21339448985 is an apocalyptic number.

1339448985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1339448985 is an abundant number, since it is smaller than the sum of its proper divisors (1461175335).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1339448985 is a wasteful number, since it uses less digits than its factorization.

1339448985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11835 (or 11813 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 1339448985 is about 36598.4833702163. The cubic root of 1339448985 is about 1102.3226364073.

The spelling of 1339448985 in words is "one billion, three hundred thirty-nine million, four hundred forty-eight thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 361 399 665 855 1083 1197 1805 1995 2527 3249 5415 5985 7581 11779 12635 16245 22743 35337 37905 58895 82453 106011 113715 176685 223801 247359 412265 530055 671403 742077 1119005 1236795 1566607 2014209 3357015 3710385 4252219 4699821 7833035 10071045 12756657 14099463 21261095 23499105 29765533 38269971 63783285 70497315 89296599 148827665 191349855 267889797 446482995 1339448985