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180106806229 = 7194767457941
BaseRepresentation
bin1010011110111100110…
…0111100001111010101
3122012212221201201211221
42213233030330033111
510422324320244404
6214423453530341
716004133410350
oct2475714741725
9565787651757
10180106806229
116a423662299
122aaa54a39b1
1313ca3acbcbc
148a0807d297
154a41ca4954
hex29ef33c3d5

180106806229 has 64 divisors (see below), whose sum is σ = 225313136640. Its totient is φ = 140545912320.

The previous prime is 180106806227. The next prime is 180106806311. The reversal of 180106806229 is 922608601081.

It is a happy number.

It is not a de Polignac number, because 180106806229 - 21 = 180106806227 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180106806223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191398899 + ... + 191399839.

It is an arithmetic number, because the mean of its divisors is an integer number (3520517760).

Almost surely, 2180106806229 is an apocalyptic number.

180106806229 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

180106806229 is a deficient number, since it is larger than the sum of its proper divisors (45206330411).

180106806229 is a wasteful number, since it uses less digits than its factorization.

180106806229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538.

The product of its (nonzero) digits is 82944, while the sum is 43.

The spelling of 180106806229 in words is "one hundred eighty billion, one hundred six million, eight hundred six thousand, two hundred twenty-nine".

Divisors: 1 7 19 47 67 133 329 457 469 893 941 1273 3149 3199 6251 6587 8683 8911 17879 21479 22043 30619 44227 59831 60781 63047 125153 150353 214333 309589 408101 418817 430037 441329 581761 840313 1197893 1439093 2856707 2963209 3010259 4072327 5882191 8170703 8385251 10073651 20211739 20742463 27342767 28812479 56300971 57194921 141482173 191399369 201687353 384023041 394106797 547437101 1354186513 2688161287 3832059707 9479305591 25729543747 180106806229