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12182825973409 = 7133173229258337
BaseRepresentation
bin1011000101001000100100…
…0000111011011010100001
31121010200000002101211202221
42301102021000323122201
53044100411422122114
641524414001111041
72365115533106110
oct261221100733241
947120002354687
1012182825973409
1139777867246a3
121449143928481
136a4ab2956640
1430191ac3dc77
15161d83794524
hexb148903b6a1

12182825973409 has 64 divisors (see below), whose sum is σ = 15758535331840. Its totient is φ = 9160222556160.

The previous prime is 12182825973397. The next prime is 12182825973421. The reversal of 12182825973409 is 90437952828121.

It is an interprime number because it is at equal distance from previous prime (12182825973397) and next prime (12182825973421).

It is not a de Polignac number, because 12182825973409 - 27 = 12182825973281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12182825973509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47029489 + ... + 47287825.

It is an arithmetic number, because the mean of its divisors is an integer number (246227114560).

Almost surely, 212182825973409 is an apocalyptic number.

It is an amenable number.

12182825973409 is a deficient number, since it is larger than the sum of its proper divisors (3575709358431).

12182825973409 is a wasteful number, since it uses less digits than its factorization.

12182825973409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258690.

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 12182825973409 in words is "twelve trillion, one hundred eighty-two billion, eight hundred twenty-five million, nine hundred seventy-three thousand, four hundred nine".

Divisors: 1 7 13 31 73 91 217 229 403 511 949 1603 2263 2821 2977 6643 7099 15841 16717 20839 29419 49693 92287 117019 205933 217321 258337 518227 646009 1521247 1808359 3358381 3627589 6736951 8008447 18858601 23508667 47158657 56059129 59159173 104109811 132010207 245161813 414114211 584616631 728768677 769069249 1716132691 1833934363 4092316417 4318619629 5383484743 7600016203 12837540541 23841146719 30230337403 53200113421 56142055177 133877208499 166888027033 392994386239 937140459493 1740403710487 12182825973409