Search a number
-
+
220476680499312 = 2435527310754213
BaseRepresentation
bin110010001000010110111010…
…001110001111000001110000
31001220122100211221112220100000
4302020112322032033001300
5212344242220201434222
62100525331101030000
764303625450620446
oct6210267216170160
91056570757486300
10220476680499312
11642836a9365866
1220889a36255300
139603b28396663
143c631b1da8b96
151a751876869ac
hexc885ba38f070

220476680499312 has 120 divisors (see below), whose sum is σ = 640002804792624. Its totient is φ = 73478282540544.

The previous prime is 220476680499259. The next prime is 220476680499323. The reversal of 220476680499312 is 213994086674022.

220476680499312 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 7 + 66 + 80 + 499 + 3 + 1 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 220476680499312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15124318 + ... + 25878530.

Almost surely, 2220476680499312 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 220476680499312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320001402396312).

220476680499312 is an abundant number, since it is smaller than the sum of its proper divisors (419526124293312).

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

220476680499312 is a wasteful number, since it uses less digits than its factorization.

220476680499312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10759509 (or 10759491 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 220476680499312 in words is "two hundred twenty trillion, four hundred seventy-six billion, six hundred eighty million, four hundred ninety-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 5273 10546 15819 21092 31638 42184 47457 63276 84368 94914 126552 142371 189828 253104 284742 379656 427113 569484 759312 854226 1138968 1281339 1708452 2277936 2562678 3416904 5125356 6833808 10250712 10754213 20501424 21508426 32262639 43016852 64525278 86033704 96787917 129050556 172067408 193575834 258101112 290363751 387151668 516202224 580727502 774303336 871091253 1161455004 1548606672 1742182506 2322910008 2613273759 3484365012 4645820016 5226547518 6968730024 10453095036 13937460048 20906190072 41812380144 56706965149 113413930298 170120895447 226827860596 340241790894 453655721192 510362686341 680483581788 907311442384 1020725372682 1360967163576 1531088059023 2041450745364 2721934327152 3062176118046 4082901490728 4593264177069 6124352236092 8165802981456 9186528354138 12248704472184 13779792531207 18373056708276 24497408944368 27559585062414 36746113416552 55119170124828 73492226833104 110238340249656 220476680499312