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20053533535002 = 232111710135881219
BaseRepresentation
bin1001000111101000100111…
…01111100010101100011010
32122000002200020020212001100
410203310103233202230122
510112024114041110002
6110352244403332230
74136551153404642
oct443642357425432
978002606225040
1020053533535002
116431723982250
1222ba613981076
13b2606a132076
144d484bd99522
1524b989a5e11c
hex123d13be2b1a

20053533535002 has 96 divisors (see below), whose sum is σ = 50237004841920. Its totient is φ = 5713720911360.

The previous prime is 20053533535001. The next prime is 20053533535033.

20053533535002 is a `hidden beast` number, since 2 + 0 + 0 + 53 + 53 + 3 + 53 + 500 + 2 = 666.

20053533535002 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (20053533535001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 469149 + ... + 6350367.

It is an arithmetic number, because the mean of its divisors is an integer number (523302133770).

Almost surely, 220053533535002 is an apocalyptic number.

20053533535002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20053533535002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25118502420960).

20053533535002 is an abundant number, since it is smaller than the sum of its proper divisors (30183471306918).

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

20053533535002 is a wasteful number, since it uses less digits than its factorization.

20053533535002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882268 (or 5882265 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 36.

The spelling of 20053533535002 in words is "twenty trillion, fifty-three billion, five hundred thirty-three million, five hundred thirty-five thousand, two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1013 1122 1683 2026 3039 3366 6078 9117 11143 17221 18234 22286 33429 34442 51663 66858 100287 103326 154989 189431 200574 309978 378862 568293 1136586 1704879 3409758 5881219 11762438 17643657 35287314 52930971 64693409 99980723 105861942 129386818 194080227 199961446 299942169 388160454 582240681 599884338 899826507 1099787953 1164481362 1799653014 2199575906 3299363859 5957674847 6598727718 9898091577 11915349694 17873024541 19796183154 35746049082 53619073623 65534423317 101280472399 107238147246 131068846634 196603269951 202560944798 303841417197 393206539902 589809809853 607682834394 911524251591 1114085196389 1179619619706 1823048503182 2228170392778 3342255589167 6684511178334 10026766767501 20053533535002