Search a number
-
+
1338012561 = 35989157541
BaseRepresentation
bin100111111000000…
…0111001110010001
310110020201002011210
41033300013032101
510220012400221
6340434130333
745104630154
oct11760071621
93406632153
101338012561
11627300706
123141209a9
13184287012
14c99b7c9b
157c6ed276
hex4fc07391

1338012561 has 32 divisors (see below), whose sum is σ = 1849737600. Its totient is φ = 859921920.

The previous prime is 1338012551. The next prime is 1338012593. The reversal of 1338012561 is 1652108331.

It is not a de Polignac number, because 1338012561 - 215 = 1337979793 is a prime.

It is a super-3 number, since 3×13380125613 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1338012551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2472951 + ... + 2473491.

It is an arithmetic number, because the mean of its divisors is an integer number (57804300).

Almost surely, 21338012561 is an apocalyptic number.

It is an amenable number.

1338012561 is a deficient number, since it is larger than the sum of its proper divisors (511725039).

1338012561 is a wasteful number, since it uses less digits than its factorization.

1338012561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1338012561 is about 36578.8540143072. The cubic root of 1338012561 is about 1101.9284521671.

The spelling of 1338012561 in words is "one billion, three hundred thirty-eight million, twelve thousand, five hundred sixty-one".

Divisors: 1 3 59 89 157 177 267 471 541 1623 5251 9263 13973 15753 27789 31919 41919 48149 84937 95757 144447 254811 824407 2473221 2840791 5011283 7559393 8522373 15033849 22678179 446004187 1338012561