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20642912829 = 3371197710163
BaseRepresentation
bin10011001110011010…
…011101101000111101
31222021122021121212000
4103032122131220331
5314234041202304
613252213132513
71330356602220
oct231632355075
958248247760
1020642912829
118833427a40
12400132a139
131c3c949b26
14ddb83d5b7
1580c413939
hex4ce69da3d

20642912829 has 64 divisors (see below), whose sum is σ = 38171105280. Its totient is φ = 10711560960.

The previous prime is 20642912809. The next prime is 20642912837. The reversal of 20642912829 is 92821924602.

20642912829 is a `hidden beast` number, since 20 + 64 + 291 + 282 + 9 = 666.

It is not a de Polignac number, because 20642912829 - 213 = 20642904637 is a prime.

It is a super-2 number, since 2×206429128292 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20642912809) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2026102 + ... + 2036264.

It is an arithmetic number, because the mean of its divisors is an integer number (596423520).

Almost surely, 220642912829 is an apocalyptic number.

It is an amenable number.

20642912829 is a deficient number, since it is larger than the sum of its proper divisors (17528192451).

20642912829 is a wasteful number, since it uses less digits than its factorization.

20642912829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11167 (or 11161 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 20642912829 in words is "twenty billion, six hundred forty-two million, nine hundred twelve thousand, eight hundred twenty-nine".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 977 2079 2931 6839 8793 10163 10747 20517 26379 30489 32241 61551 71141 75229 91467 96723 111793 184653 213423 225687 274401 290169 335379 640269 677061 782551 1006137 1920807 2031183 2347653 3018411 7042959 9929251 21128877 29787753 69504757 89363259 109221761 208514271 268089777 327665283 625542813 764552327 982995849 1876628439 2293656981 2948987547 6880970943 20642912829