Search a number
-
+
9493546690327 = 73432532732
BaseRepresentation
bin1000101000100110001101…
…1110100110011100010111
31020121120111120222102221111
42022021203132212130113
52221020240423042302
632105135232555451
71666612636264000
oct212114336463427
936546446872844
109493546690327
113030210679547
121093ab56b2b87
1353b31205671b
1424b6c0c1a1a7
15116e379d30d7
hex8a2637a6717

9493546690327 has 108 divisors (see below), whose sum is σ = 11712967030800. Its totient is φ = 7691298136704.

The previous prime is 9493546690279. The next prime is 9493546690379. The reversal of 9493546690327 is 7230966453949.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9493546690327 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 9493546690327 - 223 = 9493538301719 is a prime.

It is a super-2 number, since 2×94935466903272 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9493546690627) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 130048584763 + ... + 130048584835.

Almost surely, 29493546690327 is an apocalyptic number.

9493546690327 is a deficient number, since it is larger than the sum of its proper divisors (2219420340473).

9493546690327 is an frugal number, since it uses more digits than its factorization.

9493546690327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 67.

The spelling of 9493546690327 in words is "nine trillion, four hundred ninety-three billion, five hundred forty-six million, six hundred ninety thousand, three hundred twenty-seven".

Divisors: 1 7 43 49 53 73 301 343 371 511 1849 2107 2279 2597 2809 3139 3577 3869 5329 12943 14749 15953 18179 19663 21973 25039 27083 37303 90601 97997 111671 120787 134977 137641 153811 166367 189581 205057 229147 261121 282437 634207 685979 781697 845509 944839 963487 1076677 1164569 1327067 1435399 1604029 1827847 1977059 4801853 5193841 5918563 6613873 7153781 8151983 8817451 9853321 10047793 11228203 12144791 13839413 14969161 33612971 36356887 41429941 46297111 50076467 57063881 61722157 68973247 70334551 78597421 85013537 96875891 104784127 254498209 350535269 379150393 432055099 482812729 522226013 595094759 643673923 733488889 1781487463 2453746883 2654052751 3024385693 3379689103 3655582091 4165663313 4505717461 5134422223 18578369257 25589074637 27677978689 31540022227 130048584799 179123522459 193745850823 220780155589 1356220955761 9493546690327