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16340356164 = 22311236917789
BaseRepresentation
bin11110011011111011…
…00000110001000100
31120011210021002200110
433031331200301010
5231431112344124
611301234313020
71115633510226
oct171575406104
946153232613
1016340356164
116a25783490
123200428770
131705443a02
14b1024c416
15659827029
hex3cdf60c44

16340356164 has 96 divisors (see below), whose sum is σ = 43470443520. Its totient is φ = 4728873600.

The previous prime is 16340356147. The next prime is 16340356177. The reversal of 16340356164 is 46165304361.

16340356164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2093982 + ... + 2101770.

It is an arithmetic number, because the mean of its divisors is an integer number (452817120).

Almost surely, 216340356164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16340356164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21735221760).

16340356164 is an abundant number, since it is smaller than the sum of its proper divisors (27130087356).

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

16340356164 is a wasteful number, since it uses less digits than its factorization.

16340356164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8521 (or 8519 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 16340356164 in words is "sixteen billion, three hundred forty million, three hundred fifty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 691 759 1012 1382 1518 2073 2764 3036 4146 7601 7789 8292 15202 15578 15893 22803 23367 30404 31156 31786 45606 46734 47679 63572 85679 91212 93468 95358 171358 174823 179147 190716 257037 342716 349646 358294 514074 524469 537441 699292 716588 1028148 1048938 1074882 1970617 2097876 2149764 3941234 5382199 5911851 7882468 10764398 11823702 16146597 21528796 23647404 32293194 59204189 64586388 118408378 123790577 177612567 236816756 247581154 355225134 371371731 495162308 710450268 742743462 1361696347 1485486924 2723392694 4085089041 5446785388 8170178082 16340356164