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202004345465 = 5132298243393
BaseRepresentation
bin1011110000100001100…
…1011011001001111001
3201022102000210222120122
42330020121123021321
511302201103023330
6232444410103025
720410566414536
oct2741031331171
9638360728518
10202004345465
117874020665a
1233196a1aa75
1316083658400
149ac438bd8d
1553c43e45e5
hex2f0865b279

202004345465 has 24 divisors (see below), whose sum is σ = 271537398360. Its totient is φ = 144028545024.

The previous prime is 202004345443. The next prime is 202004345489. The reversal of 202004345465 is 564543400202.

202004345465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 111612119056 + 90392226409 = 334084^2 + 300653^2 .

It is not a de Polignac number, because 202004345465 - 212 = 202004341369 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4097192 + ... + 4146201.

It is an arithmetic number, because the mean of its divisors is an integer number (11314058265).

Almost surely, 2202004345465 is an apocalyptic number.

It is an amenable number.

202004345465 is a deficient number, since it is larger than the sum of its proper divisors (69533052895).

202004345465 is a wasteful number, since it uses less digits than its factorization.

202004345465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243453 (or 8243440 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 202004345465 its reverse (564543400202), we get a palindrome (766547745667).

The spelling of 202004345465 in words is "two hundred two billion, four million, three hundred forty-five thousand, four hundred sixty-five".

Divisors: 1 5 13 29 65 145 169 377 845 1885 4901 24505 8243393 41216965 107164109 239058397 535820545 1195291985 1393133417 3107759161 6965667085 15538795805 40400869093 202004345465