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1964726445969 = 347219211712
BaseRepresentation
bin11100100101110010110…
…100100110011110010001
320221211022011102122110000
4130211302310212132101
5224142224432232334
64102325522200213
7261642516146100
oct34456264463621
96854264378400
101964726445969
11698265949641
1227893aab3069
13113371772001
146b143cd6037
1536191414299
hex1c972d26791

1964726445969 has 135 divisors (see below), whose sum is σ = 3606367867641. Its totient is φ = 1062703015920.

The previous prime is 1964726445959. The next prime is 1964726445991. The reversal of 1964726445969 is 9695446274691.

It is a happy number.

The square root of 1964726445969 is 1401687.

It is a perfect power (a square), and thus also a powerful number.

1964726445969 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 7 + 26 + 4 + 4 + 596 + 9 = 666.

It is not a de Polignac number, because 1964726445969 - 219 = 1964725921681 is a prime.

It is a super-2 number, since 2×19647264459692 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1964726445897 and 1964726445906.

It is not an unprimeable number, because it can be changed into a prime (1964726445959) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1677818754 + ... + 1677819924.

Almost surely, 21964726445969 is an apocalyptic number.

1964726445969 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1964726445969 is the 1401687-th square number.

1964726445969 is the 700844-th centered octagonal number.

It is an amenable number.

1964726445969 is a deficient number, since it is larger than the sum of its proper divisors (1641641421672).

1964726445969 is an frugal number, since it uses more digits than its factorization.

1964726445969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 1200 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 1964726445969 in words is "one trillion, nine hundred sixty-four billion, seven hundred twenty-six million, four hundred forty-five thousand, nine hundred sixty-nine".

Divisors: 1 3 7 9 19 21 27 49 57 63 81 133 147 171 189 361 399 441 513 567 931 1083 1171 1197 1323 1539 2527 2793 3249 3513 3591 3969 7581 8197 8379 9747 10539 10773 17689 22249 22743 24591 25137 29241 31617 53067 57379 66747 68229 73773 75411 94851 155743 159201 172137 200241 204687 221319 422731 467229 477603 516411 600723 663957 1090201 1268193 1371241 1401687 1432809 1549233 1802169 2959117 3270603 3804579 4113723 4205061 4647699 8877351 9598687 9811809 11413737 12341169 12615183 20713819 26053579 26632053 28796061 29435427 34241211 37023507 62141457 67190809 78160737 79896159 86388183 88306281 111070521 182375053 186424371 201572427 234482211 239688477 259164549 495018001 547125159 559273113 604717281 703446633 777493647 1276625371 1485054003 1641375477 1677819339 1814151843 2110339899 3465126007 3829876113 4455162009 4924126431 5442455529 10395378021 11489628339 13365486027 14772379293 24255882049 31186134063 34468885017 40096458081 72767646147 93558402189 103406655051 218302938441 280675206567 654908815323 1964726445969