Search a number
-
+
16874729472 = 21233121429
BaseRepresentation
bin11111011011100111…
…11111000000000000
31121120000210002001110
433231303333000000
5234024412320342
611430244003320
71135112556006
oct175563770000
947500702043
1016874729472
11717a388017
12332b390540
13178c072533
14b611d0a76
1568b6cec9c
hex3edcff000

16874729472 has 156 divisors (see below), whose sum is σ = 46524552360. Its totient is φ = 5439651840.

The previous prime is 16874729437. The next prime is 16874729489. The reversal of 16874729472 is 27492747861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11808054 + ... + 11809482.

It is an arithmetic number, because the mean of its divisors is an integer number (298234310).

Almost surely, 216874729472 is an apocalyptic number.

16874729472 is a gapful number since it is divisible by the number (12) 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 16874729472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23262276180).

16874729472 is an abundant number, since it is smaller than the sum of its proper divisors (29649822888).

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

16874729472 is an equidigital number, since it uses as much as digits as its factorization.

16874729472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1465 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 57.

The spelling of 16874729472 in words is "sixteen billion, eight hundred seventy-four million, seven hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 961 992 1024 1429 1488 1536 1922 1984 2048 2858 2883 2976 3072 3844 3968 4096 4287 5716 5766 5952 6144 7688 7936 8574 11432 11532 11904 12288 15376 15872 17148 22864 23064 23808 30752 31744 34296 44299 45728 46128 47616 61504 63488 68592 88598 91456 92256 95232 123008 126976 132897 137184 177196 182912 184512 190464 246016 265794 274368 354392 365824 369024 380928 492032 531588 548736 708784 731648 738048 984064 1063176 1097472 1373269 1417568 1463296 1476096 1968128 2126352 2194944 2746538 2835136 2926592 2952192 3936256 4119807 4252704 4389888 5493076 5670272 5853184 5904384 8239614 8505408 8779776 10986152 11340544 11808768 16479228 17010816 17559552 21972304 22681088 32958456 34021632 43944608 45362176 65916912 68043264 87889216 90724352 131833824 136086528 175778432 181448704 263667648 272173056 351556864 527335296 544346112 703113728 1054670592 1406227456 2109341184 2812454912 4218682368 5624909824 8437364736 16874729472