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667380334131 = 337210938911897
BaseRepresentation
bin10011011011000101111…
…01111011111000110011
32100210121212211200101000
421231202331323320303
541413243331143011
61230331300413043
766134210145600
oct11554275737063
92323555750330
10667380334131
11238041888955
12a94143a7183
134ac1a4378c4
1424430db96a7
15125604b6356
hex9b62f7be33

667380334131 has 96 divisors (see below), whose sum is σ = 1163767176000. Its totient is φ = 376858427904.

The previous prime is 667380334109. The next prime is 667380334151. The reversal of 667380334131 is 131433083766.

It is a happy number.

667380334131 is a `hidden beast` number, since 66 + 73 + 80 + 33 + 413 + 1 = 666.

It is not a de Polignac number, because 667380334131 - 223 = 667371945523 is a prime.

It is a super-2 number, since 2×6673803341312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (667380334151) 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, 56090575 + ... + 56102471.

It is an arithmetic number, because the mean of its divisors is an integer number (12122574750).

Almost surely, 2667380334131 is an apocalyptic number.

667380334131 is a deficient number, since it is larger than the sum of its proper divisors (496386841869).

667380334131 is a wasteful number, since it uses less digits than its factorization.

667380334131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12418 (or 12405 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 667380334131 in words is "six hundred sixty-seven billion, three hundred eighty million, three hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 109 147 189 327 389 441 763 981 1167 1323 2289 2723 2943 3501 5341 6867 8169 10503 11897 16023 19061 20601 24507 35691 42401 48069 57183 73521 83279 107073 127203 144207 171549 249837 296807 321219 381609 514647 582953 749511 890421 1144827 1296773 1748859 2077649 2248533 2671263 3890319 4627933 5246577 6232947 8013789 9077411 11670957 13883799 15739731 18698841 27232233 32395531 35012871 41651397 56096523 63541877 81696699 97186593 124954191 190625631 226768717 245090097 291559779 504444697 571876893 680306151 874679337 1513334091 1715630679 2040918453 3531112879 4540002273 6122755359 10593338637 13620006819 24717790153 31780015911 74153370459 95340047733 222460111377 667380334131