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20350142335250 = 2537213421433701
BaseRepresentation
bin1001010000010001000110…
…00000010100100100010010
32200001110021102001002021122
410220020203000110210102
510131404042414212000
6111140420515322242
74200151332534500
oct450104300244422
980043242032248
1020350142335250
1165364a0903a22
122347bb15b0382
13b480194c95b0
14504d48981670
15254549653085
hex128223014912

20350142335250 has 384 divisors, whose sum is σ = 48016227639744. Its totient is φ = 6401203200000.

The previous prime is 20350142335217. The next prime is 20350142335267. The reversal of 20350142335250 is 5253324105302.

It can be written as a sum of positive squares in 32 ways, for example, as 17373299360641 + 2976842974609 = 4168129^2 + 1725353^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20350142335250.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29030159900 + ... + 29030160600.

Almost surely, 220350142335250 is an apocalyptic number.

20350142335250 is an abundant number, since it is smaller than the sum of its proper divisors (27666085304494).

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

20350142335250 is a wasteful number, since it uses less digits than its factorization.

20350142335250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 20350142335250 in words is "twenty trillion, three hundred fifty billion, one hundred forty-two million, three hundred thirty-five thousand, two hundred fifty".