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216347057453600 = 25521952121273083
BaseRepresentation
bin110001001100010000111001…
…100000011111101000100000
31001101000120120102020012211222
4301030100321200133220200
5211324112233202003400
62044044244403154212
763366362524116143
oct6114207140375040
91041016512205758
10216347057453600
1162a312a985a437
1220321613975968
139394594829198
143b5d37968605a
151a02a3b9c8185
hexc4c43981fa20

216347057453600 has 144 divisors (see below), whose sum is σ = 555967706726880. Its totient is φ = 81982274918400.

The previous prime is 216347057453533. The next prime is 216347057453627. The reversal of 216347057453600 is 6354750743612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 792102659 + ... + 792375741.

It is an arithmetic number, because the mean of its divisors is an integer number (3860886852270).

Almost surely, 2216347057453600 is an apocalyptic number.

216347057453600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216347057453600 is an abundant number, since it is smaller than the sum of its proper divisors (339620649273280).

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

216347057453600 is a wasteful number, since it uses less digits than its factorization.

216347057453600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325243 (or 325230 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 53.

The spelling of 216347057453600 in words is "two hundred sixteen trillion, three hundred forty-seven billion, fifty-seven million, four hundred fifty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 950 1520 1900 3040 3800 7600 15200 52121 104242 208484 260605 273083 416968 521210 546166 833936 990299 1042420 1092332 1303025 1365415 1667872 1980598 2084840 2184664 2606050 2730830 3961196 4169680 4369328 4951495 5188577 5212100 5461660 6827075 7922392 8339360 8738656 9902990 10377154 10424200 10923320 13654150 15844784 19805980 20754308 20848400 21846640 24757475 25942885 27308300 31689568 39611960 41508616 41696800 43693280 49514950 51885770 54616600 79223920 83017232 99029900 103771540 109233200 129714425 158447840 166034464 198059800 207543080 218466400 259428850 396119600 415086160 518857700 792239200 830172320 1037715400 2075430800 4150861600 14233359043 28466718086 56933436172 71166795215 113866872344 142333590430 227733744688 270433821817 284667180860 355833976075 455467489376 540867643634 569334361720 711667952150 1081735287268 1138668723440 1352169109085 1423335904300 2163470574536 2277337446880 2704338218170 2846671808600 4326941149072 5408676436340 5693343617200 6760845545425 8653882298144 10817352872680 11386687234400 13521691090850 21634705745360 27043382181700 43269411490720 54086764363400 108173528726800 216347057453600