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12477083337 = 32291371732017
BaseRepresentation
bin10111001111011000…
…10010111011001001
31012012112211111122200
423213230102323021
5201023113131322
65422031110413
7621123313155
oct134754227311
935175744580
1012477083337
115322a96424
122502672409
13123ac54a64
1486512a065
154d05ad8ac
hex2e7b12ec9

12477083337 has 48 divisors (see below), whose sum is σ = 18897924240. Its totient is φ = 7922589696.

The previous prime is 12477083327. The next prime is 12477083357. The reversal of 12477083337 is 73338077421.

12477083337 is a `hidden beast` number, since 1 + 247 + 70 + 8 + 3 + 337 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2733616656 + 9743466681 = 52284^2 + 98709^2 .

It is not a de Polignac number, because 12477083337 - 219 = 12476559049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12477083292 and 12477083301.

It is not an unprimeable number, because it can be changed into a prime (12477083327) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6184953 + ... + 6186969.

It is an arithmetic number, because the mean of its divisors is an integer number (393706755).

Almost surely, 212477083337 is an apocalyptic number.

It is an amenable number.

12477083337 is a deficient number, since it is larger than the sum of its proper divisors (6420840903).

12477083337 is a wasteful number, since it uses less digits than its factorization.

12477083337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 12477083337 in words is "twelve billion, four hundred seventy-seven million, eighty-three thousand, three hundred thirty-seven".

Divisors: 1 3 9 29 87 137 173 261 411 519 1233 1557 2017 3973 5017 6051 11919 15051 18153 23701 35757 45153 58493 71103 175479 213309 276329 348941 526437 687329 828987 1046823 2061987 2486961 3140469 6185961 8013541 10119289 24040623 30357867 47804917 72121869 91073601 143414751 430244253 1386342593 4159027779 12477083337