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20275663920201 = 3417241353173081
BaseRepresentation
bin1001001110000110010111…
…01111101101110001001001
32122210100000212202120220000
410213003023233231301021
510124144024430421301
6111042302244353213
74161603565464264
oct447031357556111
978710025676800
1020275663920201
116507951774398
1223356869a5809
13b40caa2c5111
145014c127bcdb
1525263acb9786
hex1270cbbedc49

20275663920201 has 80 divisors (see below), whose sum is σ = 32294488354128. Its totient is φ = 12633233817600.

The previous prime is 20275663920191. The next prime is 20275663920209. The reversal of 20275663920201 is 10202936657202.

20275663920201 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 5 + 6 + 639 + 2 + 0 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6717950793801 + 13557713126400 = 2591901^2 + 3682080^2 .

It is not a de Polignac number, because 20275663920201 - 29 = 20275663919689 is a prime.

It is a super-2 number, since 2×202756639202012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20275663920209) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117058981 + ... + 117232061.

Almost surely, 220275663920201 is an apocalyptic number.

It is an amenable number.

20275663920201 is a deficient number, since it is larger than the sum of its proper divisors (12018824433927).

20275663920201 is a wasteful number, since it uses less digits than its factorization.

20275663920201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173704 (or 173695 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 20275663920201 in words is "twenty trillion, two hundred seventy-five billion, six hundred sixty-three million, nine hundred twenty thousand, two hundred one".

Divisors: 1 3 9 17 27 51 81 153 241 353 459 723 1059 1377 2169 3177 4097 6001 6507 9531 12291 18003 19521 28593 36873 54009 85073 110619 162027 173081 255219 331857 486081 519243 765657 1446241 1557729 2296971 2942377 4338723 4673187 6890913 8827131 13016169 14019561 26481393 39048507 41712521 61097593 79444179 117145521 125137563 183292779 238332537 375412689 549878337 709112857 1038659081 1126238067 1649635011 2127338571 3115977243 3378714201 4948905033 6382015713 9347931729 14724519913 19146047139 28043795187 44173559739 57438141417 84131385561 132520679217 250316838521 397562037651 750950515563 1192686112953 2252851546689 6758554640067 20275663920201