Search a number
-
+
22479114041680 = 245673520980153
BaseRepresentation
bin1010001110001110100111…
…00110110111100101010000
32221120222112002220110021111
411013013103212313211100
510421244211143313210
6115450432403503104
74510030254465502
oct507072346674520
987528462813244
1022479114041680
11718737a93573a
122630729987a94
13c70a0489cc4a
14579dd0105d72
1528eb0007488a
hex1471d39b7950

22479114041680 has 80 divisors (see below), whose sum is σ = 52352299751760. Its totient is φ = 8976449470464.

The previous prime is 22479114041663. The next prime is 22479114041737. The reversal of 22479114041680 is 8614041197422.

It can be written as a sum of positive squares in 8 ways, for example, as 5718736566544 + 16760377475136 = 2391388^2 + 4093944^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 280412484 + ... + 280492636.

It is an arithmetic number, because the mean of its divisors is an integer number (654403746897).

Almost surely, 222479114041680 is an apocalyptic number.

22479114041680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22479114041680 is an abundant number, since it is smaller than the sum of its proper divisors (29873185710080).

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

22479114041680 is a wasteful number, since it uses less digits than its factorization.

22479114041680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86048 (or 86042 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 22479114041680 in words is "twenty-two trillion, four hundred seventy-nine billion, one hundred fourteen million, forty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 673 1346 2692 3365 5209 5384 6730 10418 10768 13460 20836 26045 26920 41672 52090 53840 80153 83344 104180 160306 208360 320612 400765 416720 641224 801530 1282448 1603060 3206120 3505657 6412240 7011314 14022628 17528285 28045256 35056570 53942969 56090512 70113140 107885938 140226280 215771876 269714845 280452560 417516977 431543752 539429690 835033954 863087504 1078859380 1670067908 2087584885 2157718760 3340135816 4175169770 4315437520 6680271632 8350339540 16700679080 33401358160 280988925521 561977851042 1123955702084 1404944627605 2247911404168 2809889255210 4495822808336 5619778510420 11239557020840 22479114041680