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16434085031 = 713433569733
BaseRepresentation
bin11110100111000110…
…00011110010100111
31120102022122000111222
433103203003302213
5232124111210111
611314423250555
71121152263230
oct172343036247
946368560458
1016434085031
116a73681361
1232278a9a5b
13171b99cc90
14b1c88a087
15662b8d7db
hex3d38c3ca7

16434085031 has 32 divisors (see below), whose sum is σ = 20336615040. Its totient is φ = 12932296704.

The previous prime is 16434085027. The next prime is 16434085099. The reversal of 16434085031 is 13058043461.

It is a cyclic number.

It is not a de Polignac number, because 16434085031 - 22 = 16434085027 is a prime.

It is a super-2 number, since 2×164340850312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16434084982 and 16434085000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16434085331) 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 31 ways as a sum of consecutive naturals, for example, 22419941 + ... + 22420673.

It is an arithmetic number, because the mean of its divisors is an integer number (635519220).

Almost surely, 216434085031 is an apocalyptic number.

16434085031 is a deficient number, since it is larger than the sum of its proper divisors (3902530009).

16434085031 is a wasteful number, since it uses less digits than its factorization.

16434085031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755.

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 16434085031 in words is "sixteen billion, four hundred thirty-four million, eighty-five thousand, thirty-one".

Divisors: 1 7 13 91 433 569 733 3031 3983 5131 5629 7397 9529 39403 51779 66703 246377 317389 417077 1724639 2221723 2919539 3202901 4126057 5422001 22420307 28882399 37954007 180594341 1264160387 2347726433 16434085031