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20696516577 = 3311314361857
BaseRepresentation
bin10011010001100110…
…111100011111100001
31222102101010222101000
4103101212330133201
5314341302012302
613301410102213
71331610326322
oct232146743741
958371128330
1020696516577
11886070a260
12401727a969
131c4aa97619
1410049d4449
15811ea131c
hex4d19bc7e1

20696516577 has 128 divisors (see below), whose sum is σ = 35951984640. Its totient is φ = 11648448000.

The previous prime is 20696516573. The next prime is 20696516597. The reversal of 20696516577 is 77561569602.

20696516577 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 65 + 1 + 6 + 577 = 666.

It is not a de Polignac number, because 20696516577 - 22 = 20696516573 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20696516573) 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 127 ways as a sum of consecutive naturals, for example, 24149533 + ... + 24150389.

It is an arithmetic number, because the mean of its divisors is an integer number (280874880).

Almost surely, 220696516577 is an apocalyptic number.

20696516577 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20696516577 is a deficient number, since it is larger than the sum of its proper divisors (15255468063).

20696516577 is a wasteful number, since it uses less digits than its factorization.

20696516577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 20696516577 in words is "twenty billion, six hundred ninety-six million, five hundred sixteen thousand, five hundred seventy-seven".

Divisors: 1 3 9 11 27 31 33 43 61 93 99 129 183 279 297 341 387 473 549 671 837 857 1023 1161 1333 1419 1647 1891 2013 2571 2623 3069 3999 4257 5673 6039 7713 7869 9207 9427 11997 12771 14663 17019 18117 20801 23139 23607 26567 28281 28853 35991 36851 43989 51057 52277 62403 70821 79701 81313 84843 86559 110553 131967 156831 187209 239103 243939 254529 259677 292237 331659 395901 405361 470493 561627 575047 717309 731817 779031 876711 894443 994977 1142381 1216083 1411479 1620587 1725141 2195451 2247911 2630133 2683329 3427143 3648249 4861761 5175423 6743733 7890399 8049987 10281429 10944747 12566191 14585283 15526269 17826457 20231199 24149961 24727021 30844287 37698573 43755849 53479371 60693597 69685241 74181063 113095719 160438113 209055723 222543189 339287157 481314339 627167169 667629567 766537651 1881501507 2299612953 6898838859 20696516577