Search a number
-
+
212752793600 = 2175264927
BaseRepresentation
bin1100011000100100001…
…1100000000000000000
3202100011002220201112022
43012021003200000000
511441204203343400
6241423130421012
721241132623164
oct3061103400000
9670132821468
10212752793600
1182256450846
1235296591768
13170a7418ba9
14a423a9aca4
155802d44b85
hex31890e0000

212752793600 has 108 divisors (see below), whose sum is σ = 527633041824. Its totient is φ = 85099806720.

The previous prime is 212752793597. The next prime is 212752793653. The reversal of 212752793600 is 6397257212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3244337 + ... + 3309263.

It is an arithmetic number, because the mean of its divisors is an integer number (4885491128).

Almost surely, 2212752793600 is an apocalyptic number.

212752793600 is a gapful number since it is divisible by the number (20) 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 212752793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263816520912).

212752793600 is an abundant number, since it is smaller than the sum of its proper divisors (314880248224).

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

212752793600 is an frugal number, since it uses more digits than its factorization.

212752793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64971 (or 64934 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The spelling of 212752793600 in words is "two hundred twelve billion, seven hundred fifty-two million, seven hundred ninety-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 4096 5120 6400 8192 10240 12800 16384 20480 25600 32768 40960 51200 64927 65536 81920 102400 129854 131072 163840 204800 259708 324635 327680 409600 519416 649270 655360 819200 1038832 1298540 1623175 1638400 2077664 2597080 3246350 3276800 4155328 5194160 6492700 8310656 10388320 12985400 16621312 20776640 25970800 33242624 41553280 51941600 66485248 83106560 103883200 132970496 166213120 207766400 265940992 332426240 415532800 531881984 664852480 831065600 1063763968 1329704960 1662131200 2127527936 2659409920 3324262400 4255055872 5318819840 6648524800 8510111744 10637639680 13297049600 21275279360 26594099200 42550558720 53188198400 106376396800 212752793600