Search a number
-
+
16454443264 = 28715236029
BaseRepresentation
bin11110101001100001…
…01110000100000000
31120110201221022202121
433110300232010000
5232144314141024
611320431454024
71121520313540
oct172460560400
946421838677
1016454443264
116a84116846
123232687314
131722c7a47c
14b21469320
156648608e4
hex3d4c2e100

16454443264 has 72 divisors (see below), whose sum is σ = 37567575360. Its totient is φ = 7046105088.

The previous prime is 16454443241. The next prime is 16454443267. The reversal of 16454443264 is 46234445461.

It is a self number, because there is not a number n which added to its sum of digits gives 16454443264.

It is not an unprimeable number, because it can be changed into a prime (16454443267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2726202 + ... + 2732230.

It is an arithmetic number, because the mean of its divisors is an integer number (521771880).

Almost surely, 216454443264 is an apocalyptic number.

16454443264 is a gapful number since it is divisible by the number (14) 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 16454443264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18783787680).

16454443264 is an abundant number, since it is smaller than the sum of its proper divisors (21113132096).

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

16454443264 is an equidigital number, since it uses as much as digits as its factorization.

16454443264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7575 (or 7561 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 43.

The spelling of 16454443264 in words is "sixteen billion, four hundred fifty-four million, four hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1523 1792 3046 6029 6092 10661 12058 12184 21322 24116 24368 42203 42644 48232 48736 84406 85288 96464 97472 168812 170576 192928 194944 337624 341152 385856 389888 675248 682304 771712 1350496 1364608 1543424 2700992 2729216 5401984 9182167 10803968 18364334 36728668 64275169 73457336 128550338 146914672 257100676 293829344 514201352 587658688 1028402704 1175317376 2056805408 2350634752 4113610816 8227221632 16454443264