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202466098053 = 321132574331789
BaseRepresentation
bin1011110010001111101…
…0110111101110000101
3201100121012200110001100
42330203322313232011
511304122310114203
6233002303050313
720425204303152
oct2744372675605
9640535613040
10202466098053
117895791a16a
12332a55a0999
131612820b5ab
149b29829229
1553eec04ea3
hex2f23eb7b85

202466098053 has 48 divisors (see below), whose sum is σ = 297037082160. Its totient is φ = 132880269312.

The previous prime is 202466098049. The next prime is 202466098073. The reversal of 202466098053 is 350890664202.

It can be written as a sum of positive squares in 8 ways, for example, as 643231044 + 201822867009 = 25362^2 + 449247^2 .

It is not a de Polignac number, because 202466098053 - 22 = 202466098049 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202466098073) 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, 113171883 + ... + 113173671.

It is an arithmetic number, because the mean of its divisors is an integer number (6188272545).

Almost surely, 2202466098053 is an apocalyptic number.

It is an amenable number.

202466098053 is a deficient number, since it is larger than the sum of its proper divisors (94570984107).

202466098053 is a wasteful number, since it uses less digits than its factorization.

202466098053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 202466098053 in words is "two hundred two billion, four hundred sixty-six million, ninety-eight thousand, fifty-three".

Divisors: 1 3 9 113 257 339 433 771 1017 1299 1789 2313 3897 5367 16101 29041 48929 87123 111281 146787 202157 261369 333843 440361 459773 606471 774637 1001529 1379319 1819413 2323911 4137957 6971733 12574753 37724259 51954349 87533981 113172777 155863047 199081709 262601943 467589141 597245127 787805829 1791735381 22496233117 67488699351 202466098053