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10640434351 = 176781111519
BaseRepresentation
bin10011110100011100…
…00010010010101111
31000110112212001220011
421322032002102233
5133242422344401
64515501234051
7524452125331
oct117216022257
930415761804
1010640434351
11457027a8a8
12208b562927
1310075a2501
1472d233451
15424216451
hex27a3824af

10640434351 has 16 divisors (see below), whose sum is σ = 11449589760. Its totient is φ = 9852036480.

The previous prime is 10640434333. The next prime is 10640434361. The reversal of 10640434351 is 15343404601.

It is a happy number.

10640434351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10640434351 - 27 = 10640434223 is a prime.

It is a super-2 number, since 2×106404343512 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10640434361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917970 + ... + 929488.

It is an arithmetic number, because the mean of its divisors is an integer number (715599360).

Almost surely, 210640434351 is an apocalyptic number.

10640434351 is a deficient number, since it is larger than the sum of its proper divisors (809155409).

10640434351 is a wasteful number, since it uses less digits than its factorization.

10640434351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12414.

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 10640434351 its reverse (15343404601), we get a palindrome (25983838952).

The spelling of 10640434351 in words is "ten billion, six hundred forty million, four hundred thirty-four thousand, three hundred fifty-one".

Divisors: 1 17 67 811 1139 11519 13787 54337 195823 771773 923729 9341909 13120141 158812453 625907903 10640434351