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16842226464 = 253278354279
BaseRepresentation
bin11111010111101111…
…11111101100100000
31121110202121202022100
433223313333230200
5233443102221324
611423123210400
71134236364030
oct175367775440
947422552270
1016842226464
117162aa8028
123320516a00
13178540219b
14b5ab6d8c0
1568890e4c9
hex3ebdffb20

16842226464 has 72 divisors (see below), whose sum is σ = 54737242560. Its totient is φ = 4812064128.

The previous prime is 16842226409. The next prime is 16842226477. The reversal of 16842226464 is 46462224861.

16842226464 is a `hidden beast` number, since 168 + 4 + 2 + 2 + 26 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4175124 + ... + 4179155.

It is an arithmetic number, because the mean of its divisors is an integer number (760239480).

Almost surely, 216842226464 is an apocalyptic number.

16842226464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16842226464 is an abundant number, since it is smaller than the sum of its proper divisors (37895016096).

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

16842226464 is a wasteful number, since it uses less digits than its factorization.

16842226464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8354302 (or 8354291 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 16842226464 in words is "sixteen billion, eight hundred forty-two million, two hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 8354279 16708558 25062837 33417116 50125674 58479953 66834232 75188511 100251348 116959906 133668464 150377022 175439859 200502696 233919812 267336928 300754044 350879718 401005392 467839624 526319577 601508088 701759436 802010784 935679248 1052639154 1203016176 1403518872 1871358496 2105278308 2406032352 2807037744 4210556616 5614075488 8421113232 16842226464