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16426334312416 = 257613733222953
BaseRepresentation
bin1110111100001000110111…
…0100100101011111100000
32011011100020110222212001201
43233002031310211133200
54123112113040444131
654534053120010544
73313522606620520
oct357021564453740
964140213885051
1016426334312416
115263407538526
121a1364a160a54
13921cc591c922
1440b07875b680
151d74476b3761
hexef08dd257e0

16426334312416 has 96 divisors (see below), whose sum is σ = 37665864105408. Its totient is φ = 6905883709440.

The previous prime is 16426334312411. The next prime is 16426334312459. The reversal of 16426334312416 is 61421343362461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16426334312411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3485196 + ... + 6708148.

It is an arithmetic number, because the mean of its divisors is an integer number (392352751098).

Almost surely, 216426334312416 is an apocalyptic number.

16426334312416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16426334312416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18832932052704).

16426334312416 is an abundant number, since it is smaller than the sum of its proper divisors (21239529792992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16426334312416 is a wasteful number, since it uses less digits than its factorization.

16426334312416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223404 (or 3223396 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 46.

Adding to 16426334312416 its reverse (61421343362461), we get a palindrome (77847677674877).

The spelling of 16426334312416 in words is "sixteen trillion, four hundred twenty-six billion, three hundred thirty-four million, three hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 373 427 488 746 854 976 1492 1708 1952 2611 2984 3416 5222 5968 6832 10444 11936 13664 20888 22753 41776 45506 83552 91012 159271 182024 318542 364048 637084 728096 1274168 2548336 3222953 5096672 6445906 12891812 22560671 25783624 45121342 51567248 90242684 103134496 180485368 196600133 360970736 393200266 721941472 786400532 1202161469 1376200931 1572801064 2404322938 2752401862 3145602128 4808645876 5504803724 6291204256 8415130283 9617291752 11009607448 16830260566 19234583504 22019214896 33660521132 38469167008 44038429792 67321042264 73331849609 134642084528 146663699218 269284169056 293327398436 513322947263 586654796872 1026645894526 1173309593744 2053291789052 2346619187488 4106583578104 8213167156208 16426334312416