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20334926626632 = 23326
BaseRepresentation
bin1001001111110100110000…
…00100111111111101001000
32200000000000000000000000000
410213322120010333331020
510131131412204023012
6111125423014043000
74166102303254122
oct447723004777510
980000000000000
1020334926626632
11652aaa2a4a922
122345065949460
13b46763086207
14504303c4a212
15253e5892eddc
hex127e9813ff48

20334926626632 has 108 divisors (see below), whose sum is σ = 57191981137395. Its totient is φ = 6778308875544.

The previous prime is 20334926626621. The next prime is 20334926626691. The reversal of 20334926626632 is 23662662943302.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

20334926626632 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 4 + 9 + 2 + 6 + 626 + 6 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10167463313316 + 10167463313316 = 3188646^2 + 3188646^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3188646.

It is a super-2 number, since 2×203349266266322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6778308875543 + 6778308875544 + 6778308875545.

Almost surely, 220334926626632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20334926626632

20334926626632 is an abundant number, since it is smaller than the sum of its proper divisors (36857054510763).

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

20334926626632 is an frugal number, since it uses more digits than its factorization.

20334926626632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 54.

The spelling of 20334926626632 in words is "twenty trillion, three hundred thirty-four billion, nine hundred twenty-six million, six hundred twenty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 19683 26244 39366 52488 59049 78732 118098 157464 177147 236196 354294 472392 531441 708588 1062882 1417176 1594323 2125764 3188646 4251528 4782969 6377292 9565938 12754584 14348907 19131876 28697814 38263752 43046721 57395628 86093442 114791256 129140163 172186884 258280326 344373768 387420489 516560652 774840978 1033121304 1162261467 1549681956 2324522934 3099363912 3486784401 4649045868 6973568802 9298091736 10460353203 13947137604 20920706406 27894275208 31381059609 41841412812 62762119218 83682825624 94143178827 125524238436 188286357654 251048476872 282429536481 376572715308 564859072962 753145430616 847288609443 1129718145924 1694577218886 2259436291848 2541865828329 3389154437772 5083731656658 6778308875544 10167463313316 20334926626632