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20617711292929 = 732622012
BaseRepresentation
bin1001011000000011011110…
…10110111001001000000001
32201000000220202020110112011
410230001233112321020001
510200300033042333204
6111503351254532521
74225403051255302
oct454015726711001
981000822213464
1020617711292929
116629a16582103
12238ba25967141
13b6731b3c8c1a
14513c8c8587a9
1525b4a9a7e304
hex12c06f5b9201

20617711292929 has 9 divisors (see below), whose sum is σ = 20904350736009. Its totient is φ = 20334949963200.

The previous prime is 20617711292911. The next prime is 20617711292939. The reversal of 20617711292929 is 92929211771602.

The square root of 20617711292929 is 4540673.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3541378241025 + 17076333051904 = 1881855^2 + 4132352^2 .

It is not a de Polignac number, because 20617711292929 - 211 = 20617711290881 is a prime.

It is a super-3 number, since 3×206177112929293 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20617711292939) 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 8 ways as a sum of consecutive naturals, for example, 331438029 + ... + 331500229.

Almost surely, 220617711292929 is an apocalyptic number.

20617711292929 is the 4540673-rd square number.

20617711292929 is the 2270337-th centered octagonal number.

It is an amenable number.

20617711292929 is a deficient number, since it is larger than the sum of its proper divisors (286639443080).

20617711292929 is an frugal number, since it uses more digits than its factorization.

20617711292929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124548 (or 62274 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 58.

The spelling of 20617711292929 in words is "twenty trillion, six hundred seventeen billion, seven hundred eleven million, two hundred ninety-two thousand, nine hundred twenty-nine".

Divisors: 1 73 5329 62201 4540673 331469129 3868964401 282434401273 20617711292929