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20681316668664 = 23381073682429
BaseRepresentation
bin1001011001111001111101…
…00010001001010011111000
32201020010002111222100000000
410230330332202021103320
510202320314031344124
6111552510554513000
74233114210114441
oct454747642112370
981203074870000
1020681316668664
11665399610a333
1223a0217135760
13b70316a99022
14516da409a2c8
1525ce7daa66c9
hex12cf3e8894f8

20681316668664 has 144 divisors (see below), whose sum is σ = 58706845680600. Its totient is φ = 6829342590528.

The previous prime is 20681316668651. The next prime is 20681316668731. The reversal of 20681316668664 is 46686661318602.

20681316668664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3775002 + ... + 7457430.

Almost surely, 220681316668664 is an apocalyptic number.

20681316668664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20681316668664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29353422840300).

20681316668664 is an abundant number, since it is smaller than the sum of its proper divisors (38025529011936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20681316668664 is an equidigital number, since it uses as much as digits as its factorization.

20681316668664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682566 (or 3682541 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 20681316668664 in words is "twenty trillion, six hundred eighty-one billion, three hundred sixteen million, six hundred sixty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 107 108 162 214 216 243 321 324 428 486 642 648 729 856 963 972 1284 1458 1926 1944 2187 2568 2889 2916 3852 4374 5778 5832 6561 7704 8667 8748 11556 13122 17334 17496 23112 26001 26244 34668 52002 52488 69336 78003 104004 156006 208008 234009 312012 468018 624024 702027 936036 1404054 1872072 2808108 3682429 5616216 7364858 11047287 14729716 22094574 29459432 33141861 44189148 66283722 88378296 99425583 132567444 198851166 265134888 298276749 394019903 397702332 596553498 788039806 795404664 894830247 1182059709 1193106996 1576079612 1789660494 2364119418 2386213992 2684490741 3152159224 3546179127 3579320988 4728238836 5368981482 7092358254 7158641976 8053472223 9456477672 10638537381 10737962964 14184716508 16106944446 21277074762 21475925928 24160416669 28369433016 31915612143 32213888892 42554149524 48320833338 63831224286 64427777784 85108299048 95746836429 96641666676 127662448572 191493672858 193283333352 255324897144 287240509287 382987345716 574481018574 765974691432 861721527861 1148962037148 1723443055722 2297924074296 2585164583583 3446886111444 5170329167166 6893772222888 10340658334332 20681316668664