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12813139953 = 351947137431
BaseRepresentation
bin10111110111011100…
…01111111111110001
31020001222011221200000
423323232033333301
5202220130434303
65515234020213
7632343615105
oct137356177761
936058157600
1012813139953
115485757769
122597117669
131292768523
14897a07905
154eed40da3
hex2fbb8fff1

12813139953 has 96 divisors (see below), whose sum is σ = 20832215040. Its totient is φ = 7844273280.

The previous prime is 12813139939. The next prime is 12813139981. The reversal of 12813139953 is 35993131821.

12813139953 is a `hidden beast` number, since 1 + 281 + 313 + 9 + 9 + 53 = 666.

It is not a de Polignac number, because 12813139953 - 224 = 12796362737 is a prime.

It is a super-4 number, since 4×128131399534 (a number of 42 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12813139899 and 12813139908.

It is not an unprimeable number, because it can be changed into a prime (12813139753) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29728648 + ... + 29729078.

It is an arithmetic number, because the mean of its divisors is an integer number (217002240).

Almost surely, 212813139953 is an apocalyptic number.

It is an amenable number.

12813139953 is a deficient number, since it is larger than the sum of its proper divisors (8019075087).

12813139953 is a wasteful number, since it uses less digits than its factorization.

12813139953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 637 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The spelling of 12813139953 in words is "twelve billion, eight hundred thirteen million, one hundred thirty-nine thousand, nine hundred fifty-three".

Divisors: 1 3 9 19 27 47 57 81 137 141 171 243 411 423 431 513 893 1233 1269 1293 1539 2603 2679 3699 3807 3879 4617 6439 7809 8037 8189 11097 11421 11637 19317 20257 23427 24111 24567 33291 34911 57951 59047 60771 70281 72333 73701 104733 122341 173853 177141 182313 210843 216999 221103 367023 384883 521559 531423 546939 632529 663309 1101069 1121893 1154649 1564677 1594269 1640817 1989927 2775209 3303207 3365679 3463947 4782807 4922451 8325627 9909621 10097037 10391841 14348421 24976881 29728863 30291111 31175523 52728971 74930643 90873333 93526569 158186913 224791929 272619999 474560739 674375787 1423682217 4271046651 12813139953