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7427011465445 = 511213272639361
BaseRepresentation
bin110110000010011110001…
…1000010101000011100101
3222022000102012100222001012
41230010330120111003211
51433141004413343240
623443531051112005
71364404160556305
oct154047430250345
928260365328035
107427011465445
112403861394500
129bb4a3142605
1341b497130100
141b967d983605
15cd2d8694b65
hex6c13c6150e5

7427011465445 has 36 divisors (see below), whose sum is σ = 10607816590308. Its totient is φ = 4985965670400.

The previous prime is 7427011465421. The next prime is 7427011465483. The reversal of 7427011465445 is 5445641107247.

It can be written as a sum of positive squares in 6 ways, for example, as 1858006169569 + 5569005295876 = 1363087^2 + 2359874^2 .

It is not a de Polignac number, because 7427011465445 - 28 = 7427011465189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7427011465393 and 7427011465402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36217436 + ... + 36421925.

It is an arithmetic number, because the mean of its divisors is an integer number (294661571953).

Almost surely, 27427011465445 is an apocalyptic number.

It is an amenable number.

7427011465445 is a deficient number, since it is larger than the sum of its proper divisors (3180805124863).

7427011465445 is a wasteful number, since it uses less digits than its factorization.

7427011465445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72639414 (or 72639390 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 50.

The spelling of 7427011465445 in words is "seven trillion, four hundred twenty-seven billion, eleven million, four hundred sixty-five thousand, four hundred forty-five".

Divisors: 1 5 11 13 55 65 121 143 169 605 715 845 1573 1859 7865 9295 20449 102245 72639361 363196805 799032971 944311693 3995164855 4721558465 8789362681 10387428623 12276052009 43946813405 51937143115 61380260045 114261714853 135036572099 571308574265 675182860495 1485402293089 7427011465445