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16493908224 = 28329787941
BaseRepresentation
bin11110101110001110…
…10001000100000000
31120120111012100111210
433113013101010000
5232234420030344
611324401410120
71122506622663
oct172707210400
946514170453
1016493908224
116aa4421412
123243939940
13172b1b7611
14b267bd6da
15668058db9
hex3d71d1100

16493908224 has 144 divisors (see below), whose sum is σ = 45517590720. Its totient is φ = 5296005120.

The previous prime is 16493908217. The next prime is 16493908243. The reversal of 16493908224 is 42280939461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17527594 + ... + 17528534.

It is an arithmetic number, because the mean of its divisors is an integer number (316094380).

Almost surely, 216493908224 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 16493908224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22758795360).

16493908224 is an abundant number, since it is smaller than the sum of its proper divisors (29023682496).

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

16493908224 is an equidigital number, since it uses as much as digits as its factorization.

16493908224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 16493908224 in words is "sixteen billion, four hundred ninety-three million, nine hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 787 928 941 1392 1574 1856 1882 2361 2784 2823 3148 3712 3764 4722 5568 5646 6296 7424 7528 9444 11136 11292 12592 15056 18888 22272 22584 22823 25184 27289 30112 37776 45168 45646 50368 54578 60224 68469 75552 81867 90336 91292 100736 109156 120448 136938 151104 163734 180672 182584 201472 218312 240896 273876 302208 327468 361344 365168 436624 547752 604416 654936 722688 730336 740567 873248 1095504 1309872 1460672 1481134 1746496 2191008 2221701 2619744 2921344 2962268 3492992 4382016 4443402 5239488 5842688 5924536 6985984 8764032 8886804 10478976 11849072 17528064 17773608 20957952 21476443 23698144 35547216 42952886 47396288 64429329 71094432 85905772 94792576 128858658 142188864 171811544 189585152 257717316 284377728 343623088 515434632 568755456 687246176 1030869264 1374492352 2061738528 2748984704 4123477056 5497969408 8246954112 16493908224