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4233202023324 = 22359107100955381
BaseRepresentation
bin111101100110011110100…
…000001011101110011100
3112222200122010102221001010
4331212132200023232130
51023324044204221244
613000412310415220
7614560456334001
oct75463640135634
915880563387033
104233202023324
11139232220136a
1258450a961510
1324925c9a9451
14108c60c1d8a8
15751ae205eb9
hex3d99e80bb9c

4233202023324 has 96 divisors (see below), whose sum is σ = 10148995180800. Its totient is φ = 1372800199680.

The previous prime is 4233202023313. The next prime is 4233202023331.

4233202023324 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4233202023291 and 4233202023300.

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 31 ways as a sum of consecutive naturals, for example, 76410114 + ... + 76465494.

It is an arithmetic number, because the mean of its divisors is an integer number (105718699800).

Almost surely, 24233202023324 is an apocalyptic number.

It is an amenable number.

4233202023324 is an abundant number, since it is smaller than the sum of its proper divisors (5915793157476).

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

4233202023324 is a wasteful number, since it uses less digits than its factorization.

4233202023324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56563 (or 56561 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

The spelling of 4233202023324 in words is "four trillion, two hundred thirty-three billion, two hundred two million, twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 59 107 118 177 214 236 321 354 428 642 708 1009 1284 2018 3027 4036 6054 6313 12108 12626 18939 25252 37878 55381 59531 75756 107963 110762 119062 166143 178593 215926 221524 238124 323889 332286 357186 431852 647778 664572 714372 1295556 3267479 5925767 6369817 6534958 9802437 11851534 12739634 13069916 17777301 19109451 19604874 23703068 25479268 35554602 38218902 39209748 55879429 71109204 76437804 111758858 167638287 223517716 335276574 349620253 670553148 699240506 1048860759 1398481012 2097721518 3296886311 4195443036 5979098903 6593772622 9890658933 11958197806 13187545244 17937296709 19781317866 23916395612 35874593418 39562635732 71749186836 352766835277 705533670554 1058300505831 1411067341108 2116601011662 4233202023324