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20435042007 = 32107167283449
BaseRepresentation
bin10011000010000001…
…011111111011010111
31221202011010200200200
4103002001133323113
5313322332321012
613215425511543
71322253663642
oct230201377327
957664120620
1020435042007
118737059576
123b637a25b3
131c08868143
14dbbdaca59
157e90523dc
hex4c205fed7

20435042007 has 48 divisors (see below), whose sum is σ = 30144441600. Its totient is φ = 13338049536.

The previous prime is 20435041999. The next prime is 20435042011. The reversal of 20435042007 is 70024053402.

20435042007 is a `hidden beast` number, since 20 + 435 + 0 + 4 + 200 + 7 = 666.

It is not a de Polignac number, because 20435042007 - 23 = 20435041999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20435042027) 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 47 ways as a sum of consecutive naturals, for example, 45512119 + ... + 45512567.

It is an arithmetic number, because the mean of its divisors is an integer number (628009200).

Almost surely, 220435042007 is an apocalyptic number.

20435042007 is a deficient number, since it is larger than the sum of its proper divisors (9709399593).

20435042007 is a wasteful number, since it uses less digits than its factorization.

20435042007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 20435042007 its reverse (70024053402), we get a palindrome (90459095409).

The spelling of 20435042007 in words is "twenty billion, four hundred thirty-five million, forty-two thousand, seven".

Divisors: 1 3 9 107 167 283 321 449 501 849 963 1347 1503 2547 4041 17869 30281 47261 48043 53607 74983 90843 127067 141783 144129 160821 224949 272529 381201 425349 432387 674847 1143603 5056927 8023181 13596169 15170781 21220189 24069543 40788507 45512343 63660567 72208629 122365521 190981701 2270560223 6811680669 20435042007