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16434146421 = 32711711013307
BaseRepresentation
bin11110100111000110…
…10010110001110101
31120102022202010201200
433103203102301311
5232124120141141
611314424443113
71121152640220
oct172343226165
946368663650
1016434146421
116a737134a0
123227919499
13171b9c1bc4
14b1c8a45b7
15662ba1ab6
hex3d38d2c75

16434146421 has 96 divisors (see below), whose sum is σ = 30318852096. Its totient is φ = 8331120000.

The previous prime is 16434146419. The next prime is 16434146423. The reversal of 16434146421 is 12464143461.

16434146421 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 4 + 1 + 4 + 642 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (16434146419) and next prime (16434146423).

It is not a de Polignac number, because 16434146421 - 21 = 16434146419 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16434146423) 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 95 ways as a sum of consecutive naturals, for example, 4967850 + ... + 4971156.

It is an arithmetic number, because the mean of its divisors is an integer number (315821376).

Almost surely, 216434146421 is an apocalyptic number.

16434146421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16434146421 is a deficient number, since it is larger than the sum of its proper divisors (13884705675).

16434146421 is a wasteful number, since it uses less digits than its factorization.

16434146421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3500 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 16434146421 its reverse (12464143461), we get a palindrome (28898289882).

The spelling of 16434146421 in words is "sixteen billion, four hundred thirty-four million, one hundred forty-six thousand, four hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 71 77 99 101 213 231 303 497 639 693 707 781 909 1111 1491 2121 2343 3307 3333 4473 5467 6363 7029 7171 7777 9921 9999 16401 21513 23149 23331 29763 36377 49203 50197 64539 69447 69993 78881 109131 150591 208341 234797 236643 254639 327393 334007 451773 552167 704391 709929 763917 1002021 1643579 1656501 2113173 2291751 2338049 2582767 3006063 3674077 4930737 4969503 7014147 7748301 11022231 14792211 18079369 21042441 23244903 23714497 25718539 33066693 54238107 71143491 77155617 162714321 166001479 213430473 231466851 260859467 498004437 782578401 1494013311 1826016269 2347735203 5478048807 16434146421