Search a number
-
+
16289296128 = 28337336667
BaseRepresentation
bin11110010101110101…
…01110111100000000
31120001020011222111000
433022322232330000
5231330024434003
611252212052000
71114443506160
oct171272567400
946036158430
1016289296128
1169a9979306
1231a7304000
1316c79a6c81
14b0755a5a0
156550dd1a3
hex3caeaef00

16289296128 has 144 divisors (see below), whose sum is σ = 55051951360. Its totient is φ = 4654070784.

The previous prime is 16289296109. The next prime is 16289296151. The reversal of 16289296128 is 82169298261.

It is a happy number.

16289296128 is a `hidden beast` number, since 1 + 628 + 9 + 2 + 9 + 6 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 119950 + ... + 216717.

Almost surely, 216289296128 is an apocalyptic number.

16289296128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16289296128 is an abundant number, since it is smaller than the sum of its proper divisors (38762655232).

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

16289296128 is an equidigital number, since it uses as much as digits as its factorization.

16289296128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336699 (or 336679 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 16289296128 in words is "sixteen billion, two hundred eighty-nine million, two hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 336667 673334 1010001 1346668 2020002 2356669 2693336 3030003 4040004 4713338 5386672 6060006 7070007 8080008 9090009 9426676 10773344 12120012 14140014 16160016 18180018 18853352 21210021 21546688 24240024 28280028 32320032 36360036 37706704 42420042 43093376 48480048 56560056 63630063 64640064 72720072 75413408 84840084 86186752 96960096 113120112 127260126 129280128 145440144 150826816 169680168 193920192 226240224 254520252 258560256 290880288 301653632 339360336 387840384 452480448 509040504 581760576 603307264 678720672 775680768 904960896 1018081008 1163521152 1357441344 1809921792 2036162016 2327042304 2714882688 4072324032 5429765376 8144648064 16289296128