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13134761255 = 57111761167197
BaseRepresentation
bin11000011101110010…
…01000110100100111
31020220101101000011002
430032321020310213
5203344444330010
610011203303515
7643330425410
oct141671106447
936811330132
1013134761255
1156302595a0
12266697ab9b
1313142966a5
148c8608807
1551d1c11a5
hex30ee48d27

13134761255 has 128 divisors (see below), whose sum is σ = 21382631424. Its totient is φ = 7496294400.

The previous prime is 13134761207. The next prime is 13134761257. The reversal of 13134761255 is 55216743131.

It is a happy number.

13134761255 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13134761255 - 220 = 13133712679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134761257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66673817 + ... + 66674013.

It is an arithmetic number, because the mean of its divisors is an integer number (167051808).

Almost surely, 213134761255 is an apocalyptic number.

13134761255 is a deficient number, since it is larger than the sum of its proper divisors (8247870169).

13134761255 is a wasteful number, since it uses less digits than its factorization.

13134761255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465.

The product of its digits is 75600, while the sum is 38.

The spelling of 13134761255 in words is "thirteen billion, one hundred thirty-four million, seven hundred sixty-one thousand, two hundred fifty-five".

Divisors: 1 5 7 11 17 35 55 61 77 85 119 167 187 197 305 385 427 595 671 835 935 985 1037 1169 1309 1379 1837 2135 2167 2839 3349 3355 4697 5185 5845 6545 6895 7259 9185 10187 10835 11407 12017 12859 14195 15169 16745 19873 23443 23485 31229 32899 36295 36839 50935 57035 60085 64295 71309 75845 79849 84119 99365 112057 117215 132187 156145 164495 173179 184195 204289 218603 230293 257873 356545 361889 399245 420595 559283 560285 660935 784399 865895 925309 1021445 1093015 1151465 1212253 1289365 1430023 1809445 1904969 2006839 2247179 2533223 2796415 3914981 3921995 4626545 6061265 6152113 7150115 9524845 10034195 11235895 12666115 13334783 14047873 15730253 19574905 22075229 30760565 34116263 43064791 66673915 70239365 78651265 110376145 154526603 170581315 215323955 238813841 375278893 772633015 1194069205 1876394465 2626952251 13134761255