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29651806809 = 34194532
BaseRepresentation
bin11011100111011000…
…101010101001011001
32211112111002212010000
4123213120222221121
5441211330304214
621342153043213
72066541125232
oct334730525131
984474085100
1029651806809
1111636743369
1258b63b6509
132a471c2421
1416140cc089
15b8829a809
hex6e762aa59

29651806809 has 75 divisors (see below), whose sum is σ = 47654294303. Its totient is φ = 18374108688.

The previous prime is 29651806799. The next prime is 29651806817. The reversal of 29651806809 is 90860815692.

It is a happy number.

The square root of 29651806809 is 172197.

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., 21375902025 + 8275904784 = 146205^2 + 90972^2 .

It is not a de Polignac number, because 29651806809 - 217 = 29651675737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29651806859) by changing a digit.

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 74 ways as a sum of consecutive naturals, for example, 559468027 + ... + 559468079.

Almost surely, 229651806809 is an apocalyptic number.

29651806809 is the 172197-th square number.

29651806809 is the 86099-th centered octagonal number.

It is an amenable number.

29651806809 is a deficient number, since it is larger than the sum of its proper divisors (18002487494).

29651806809 is an frugal number, since it uses more digits than its factorization.

29651806809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 29651806809 in words is "twenty-nine billion, six hundred fifty-one million, eight hundred six thousand, eight hundred nine".

Divisors: 1 3 9 19 27 53 57 81 159 171 361 477 513 1007 1083 1431 1539 2809 3021 3249 4293 6859 8427 9063 9747 19133 20577 25281 27189 29241 53371 57399 61731 75843 81567 130321 160113 172197 185193 227529 363527 390963 480339 516591 555579 1014049 1090581 1172889 1441017 1549773 3042147 3271743 3518667 4323051 6907013 9126441 9815229 10556001 19266931 20721039 27379323 29445687 57800793 62163117 82137969 173402379 186489351 366071689 520207137 559468053 1098215067 1560621411 3294645201 9883935603 29651806809