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19617643969 = 721121721072
BaseRepresentation
bin10010010001010011…
…010111110111000001
31212122012001120101021
4102101103113313001
5310134104101334
613002350105441
71263100136200
oct222123276701
955565046337
1019617643969
118357715300
123975aab281
131b08403271
14d415d5237
1579c3e03b4
hex4914d7dc1

19617643969 has 81 divisors (see below), whose sum is σ = 26897380419. Its totient is φ = 14252810880.

The previous prime is 19617643967. The next prime is 19617643987. The reversal of 19617643969 is 96934671691.

The square root of 19617643969 is 140063.

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

It can be written as a sum of positive squares in only one way, i.e., 15273252225 + 4344391744 = 123585^2 + 65912^2 .

It is not a de Polignac number, because 19617643969 - 21 = 19617643967 is a prime.

It is a super-2 number, since 2×196176439692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19617643967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 183342414 + ... + 183342520.

Almost surely, 219617643969 is an apocalyptic number.

19617643969 is the 140063-rd square number.

19617643969 is the 70032-nd centered octagonal number.

It is an amenable number.

19617643969 is a deficient number, since it is larger than the sum of its proper divisors (7279736450).

19617643969 is a wasteful number, since it uses less digits than its factorization.

19617643969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 61.

The spelling of 19617643969 in words is "nineteen billion, six hundred seventeen million, six hundred forty-three thousand, nine hundred sixty-nine".

Divisors: 1 7 11 17 49 77 107 119 121 187 289 539 749 833 847 1177 1309 1819 2023 2057 3179 5243 5929 8239 9163 11449 12733 12947 14161 14399 20009 22253 30923 34969 57673 80143 89131 90629 100793 125939 140063 155771 194633 216461 220099 244783 340153 561001 634403 881573 980441 1362431 1385329 1515227 1540693 1713481 2140963 2381071 3308761 3741683 6171011 9537017 9697303 10784851 14986741 16667497 23161327 23550593 26191781 36396371 67881121 104907187 162129289 164854151 183342467 254774597 400360081 1153979057 1783422179 2802520567 19617643969