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10506434354 = 21310922916189
BaseRepresentation
bin10011100100011101…
…10111011100110010
31000010012201011110022
421302032313130302
5133004121344404
64454313203442
7521234134643
oct116216673462
930105634408
1010506434354
1145016766a9
122052700582
13cb58b6180
147195116ca
154175978be
hex2723b7732

10506434354 has 32 divisors (see below), whose sum is σ = 17203494000. Its totient is φ = 4783359744.

The previous prime is 10506434353. The next prime is 10506434363. The reversal of 10506434354 is 45343460501.

It can be written as a sum of positive squares in 8 ways, for example, as 6855012025 + 3651422329 = 82795^2 + 60427^2 .

It is a super-2 number, since 2×105064343542 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506434353) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 640892 + ... + 657080.

Almost surely, 210506434354 is an apocalyptic number.

10506434354 is a deficient number, since it is larger than the sum of its proper divisors (6697059646).

10506434354 is a wasteful number, since it uses less digits than its factorization.

10506434354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16542.

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 10506434354 its reverse (45343460501), we get a palindrome (55849894855).

The spelling of 10506434354 in words is "ten billion, five hundred six million, four hundred thirty-four thousand, three hundred fifty-four".

Divisors: 1 2 13 26 109 218 229 458 1417 2834 2977 5954 16189 24961 32378 49922 210457 324493 420914 648986 1764601 3529202 3707281 7414562 22939813 45879626 48194653 96389306 404093629 808187258 5253217177 10506434354