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20405235250322 = 213417125776581
BaseRepresentation
bin1001010001110111101101…
…10011000111010010010010
32200020201110221002010222122
410220323312303013102102
510133304410211002242
6111222011411534242
74204141515561236
oct450736663072222
980221427063878
1020405235250322
1165578a237649a
122356807bba382
13b5028942a920
1450789383c5c6
15255bc11a4ad2
hex128ef6cc7492

20405235250322 has 96 divisors (see below), whose sum is σ = 34313110583472. Its totient is φ = 9041614848000.

The previous prime is 20405235250303. The next prime is 20405235250333. The reversal of 20405235250322 is 22305253250402.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5072364300481 + 15332870949841 = 2252191^2 + 3915721^2 .

It is a super-2 number, since 2×204052352503222 (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3100625072 + ... + 3100631652.

Almost surely, 220405235250322 is an apocalyptic number.

20405235250322 is a deficient number, since it is larger than the sum of its proper divisors (13907875333150).

20405235250322 is a wasteful number, since it uses less digits than its factorization.

20405235250322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7356 (or 7285 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

The spelling of 20405235250322 in words is "twenty trillion, four hundred five billion, two hundred thirty-five million, two hundred fifty thousand, three hundred twenty-two".

Divisors: 1 2 13 26 41 71 82 142 533 577 923 1066 1154 1846 2911 5041 5822 6581 7501 10082 13162 15002 23657 37843 40967 47314 65533 75686 81934 85553 131066 171106 206681 269821 307541 413362 467251 532571 539642 615082 934502 1065142 1679647 2686853 2908657 3359294 3507673 3797237 5373706 5817314 6074263 7015346 7594474 12148526 19157291 21835411 33174821 37812541 38314582 43670822 49364081 66349642 75625082 98728162 119254937 155686717 238509874 249044783 269603827 311373434 431272673 498089566 539207654 862545346 1360167661 1550314181 2023927321 2720335322 3100628362 3504849751 4047854642 7009699502 11053756907 17682179593 19141871717 22107513814 35364359186 38283743434 143698839791 248844332321 287397679582 497688664642 784816740397 1569633480794 10202617625161 20405235250322