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16442212122 = 23271512333709
BaseRepresentation
bin11110101000000100…
…00011111100011010
31120102212220220210100
433110002003330122
5232133201241442
611315313400230
71121311332330
oct172402037432
946385826710
1016442212122
116a78222366
12322a569076
1317205871cb
14b1d9a3b50
1566374684c
hex3d4083f1a

16442212122 has 96 divisors (see below), whose sum is σ = 41170671360. Its totient is φ = 4645382400.

The previous prime is 16442212091. The next prime is 16442212169. The reversal of 16442212122 is 22121224461.

It is a happy number.

16442212122 is a `hidden beast` number, since 1 + 6 + 442 + 2 + 1 + 212 + 2 = 666.

It is a super-3 number, since 3×164422121223 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4431204 + ... + 4434912.

It is an arithmetic number, because the mean of its divisors is an integer number (428861160).

Almost surely, 216442212122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16442212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20585335680).

16442212122 is an abundant number, since it is smaller than the sum of its proper divisors (24728459238).

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

16442212122 is a wasteful number, since it uses less digits than its factorization.

16442212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4105 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 16442212122 its reverse (22121224461), we get a palindrome (38563436583).

The spelling of 16442212122 in words is "sixteen billion, four hundred forty-two million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 151 233 302 453 466 699 906 1057 1359 1398 1631 2097 2114 2718 3171 3262 3709 4194 4893 6342 7418 9513 9786 11127 14679 19026 22254 25963 29358 33381 35183 51926 66762 70366 77889 105549 155778 211098 233667 246281 316647 467334 492562 560059 633294 738843 864197 1120118 1477686 1680177 1728394 2216529 2592591 3360354 3920413 4433058 5040531 5185182 6049379 7777773 7840826 10081062 11761239 12098758 15555546 18148137 23522478 35283717 36296274 54444411 70567434 108888822 130493747 260987494 391481241 782962482 913456229 1174443723 1826912458 2348887446 2740368687 5480737374 8221106061 16442212122