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16134405424 = 2417237613389
BaseRepresentation
bin11110000011010111…
…10111110100110000
31112122102201201101021
433001223313310300
5231020401433144
611225000145224
71110553116604
oct170153676460
945572651337
1016134405424
11692a4a6665
123163468214
1316a1884c77
14ad0b5b504
156466e4884
hex3c1af7d30

16134405424 has 80 divisors (see below), whose sum is σ = 34593946560. Its totient is φ = 7250862080.

The previous prime is 16134405409. The next prime is 16134405431. The reversal of 16134405424 is 42450443161.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 16134405424.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4759122 + ... + 4762510.

It is an arithmetic number, because the mean of its divisors is an integer number (432424332).

Almost surely, 216134405424 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 16134405424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17296973280).

16134405424 is an abundant number, since it is smaller than the sum of its proper divisors (18459541136).

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

16134405424 is a wasteful number, since it uses less digits than its factorization.

16134405424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 16134405424 its reverse (42450443161), we get a palindrome (58584848585).

The spelling of 16134405424 in words is "sixteen billion, one hundred thirty-four million, four hundred five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 761 782 1522 1564 3044 3128 3389 6088 6256 6778 12176 12937 13556 17503 25874 27112 35006 51748 54224 57613 70012 77947 103496 115226 140024 155894 206992 230452 280048 297551 311788 460904 595102 623576 921808 1190204 1247152 1325099 2380408 2579029 2650198 4760816 5158058 5300396 10316116 10600792 20632232 21201584 41264464 43843493 59317667 87686986 118635334 175373972 237270668 350747944 474541336 701495888 949082672 1008400339 2016800678 4033601356 8067202712 16134405424