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13682951771391 = 347195333717109
BaseRepresentation
bin1100011100011100111101…
…1110101101010011111111
31210110002002102202011220000
43013013033132231103333
53243140141123141031
645033510011125343
72611363205024460
oct307071736552377
953402072664800
1013682951771391
1143a59a8619961
12164ba20a43853
137833b2146c06
14354389094d67
1518add1bdc3e6
hexc71cf7ad4ff

13682951771391 has 160 divisors (see below), whose sum is σ = 25064340364800. Its totient is φ = 7264373725440.

The previous prime is 13682951771387. The next prime is 13682951771407. The reversal of 13682951771391 is 19317715928631.

13682951771391 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 29 + 517 + 7 + 1 + 3 + 91 = 666.

It is not a de Polignac number, because 13682951771391 - 22 = 13682951771387 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13682951771381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1924732945 + ... + 1924740053.

It is an arithmetic number, because the mean of its divisors is an integer number (156652127280).

Almost surely, 213682951771391 is an apocalyptic number.

13682951771391 is a deficient number, since it is larger than the sum of its proper divisors (11381388593409).

13682951771391 is a wasteful number, since it uses less digits than its factorization.

13682951771391 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10571 (or 10562 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The spelling of 13682951771391 in words is "thirteen trillion, six hundred eighty-two billion, nine hundred fifty-one million, seven hundred seventy-one thousand, three hundred ninety-one".

Divisors: 1 3 7 9 19 21 27 53 57 63 81 133 159 171 189 371 399 477 513 567 1007 1113 1197 1431 1539 3021 3339 3371 3591 4293 7049 7109 9063 10017 10113 10773 21147 21327 23597 27189 30051 30339 49763 63441 63981 64049 70791 81567 91017 135071 149289 178663 190323 191943 192147 212373 273051 376777 405213 447867 448343 535989 570969 575829 576441 637119 945497 1130331 1215639 1250641 1343601 1345029 1607967 1729323 1911357 2637439 2836491 3390993 3394597 3646917 3751923 4030803 4035087 4823901 5187969 7158763 7912317 8509473 10172979 10183791 10940751 11255769 12105261 14471703 21476289 23736951 23762179 23964439 25528419 30518937 30551373 33767307 36315783 50111341 64428867 71210853 71286537 71893317 76585257 91654119 101301921 150334023 167751073 193286601 213632559 213859611 215679951 274962357 451002069 455324341 503253219 579859803 641578833 647039853 1270115267 1353006207 1365973023 1509759657 1924736499 1941119559 3187270387 3810345801 4059018621 4097919069 4529278971 8890806869 9561811161 11431037403 12293757207 13587836913 24132190073 26672420607 28685433483 34293112209 36881271621 72396570219 80017261821 86056300449 102879336627 168925330511 217189710657 240051785463 258168901347 506775991533 651569131971 720155356389 1520327974599 1954707395913 4560983923797 13682951771391