Search a number
-
+
203445515413050 = 235219297136739439
BaseRepresentation
bin101110010000100001011001…
…101011010110011000111010
3222200100012102202202020212020
4232100201121223112120322
5203131222403421204200
62000405325102255310
760565311346151061
oct5620413153263072
9880305382666766
10203445515413050
1159907838700969
121a99912b587536
138969aa305b991
143834b5b9971d8
15187c140ec9ea0
hexb90859ad663a

203445515413050 has 384 divisors, whose sum is σ = 557362612224000. Its totient is φ = 48907021363200.

The previous prime is 203445515413003. The next prime is 203445515413057. The reversal of 203445515413050 is 50314515544302.

It is a super-2 number, since 2×2034455154130502 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203445515412993 and 203445515413011.

It is not an unprimeable number, because it can be changed into a prime (203445515413057) 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 191 ways as a sum of consecutive naturals, for example, 21553710231 + ... + 21553719669.

It is an arithmetic number, because the mean of its divisors is an integer number (1451465136000).

Almost surely, 2203445515413050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203445515413050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278681306112000).

203445515413050 is an abundant number, since it is smaller than the sum of its proper divisors (353917096810950).

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

203445515413050 is a wasteful number, since it uses less digits than its factorization.

203445515413050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13246 (or 13241 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 203445515413050 in words is "two hundred three trillion, four hundred forty-five billion, five hundred fifteen million, four hundred thirteen thousand, fifty".