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212420535344 = 24197919734483
BaseRepresentation
bin1100010111010101000…
…0000010010000110000
3202022021221201020212222
43011311100002100300
511440014124112334
6241330141140212
721226656521213
oct3056520022060
9668257636788
10212420535344
11820a5944246
123520325a668
1317053635284
14a3d18cb77a
1557d3ab2d2e
hex3175402430

212420535344 has 80 divisors (see below), whose sum is σ = 439030233600. Its totient is φ = 99274076928.

The previous prime is 212420535343. The next prime is 212420535361. The reversal of 212420535344 is 443535024212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (212420535343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47381327 + ... + 47385809.

It is an arithmetic number, because the mean of its divisors is an integer number (5487877920).

Almost surely, 2212420535344 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 212420535344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219515116800).

212420535344 is an abundant number, since it is smaller than the sum of its proper divisors (226609698256).

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

212420535344 is a wasteful number, since it uses less digits than its factorization.

212420535344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6562 (or 6556 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 212420535344 its reverse (443535024212), we get a palindrome (655955559556).

The spelling of 212420535344 in words is "two hundred twelve billion, four hundred twenty million, five hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 79 152 158 304 316 632 1264 1501 1973 3002 3946 4483 6004 7892 8966 12008 15784 17932 24016 31568 35864 37487 71728 74974 85177 149948 155867 170354 299896 311734 340708 354157 599792 623468 681416 708314 1246936 1362832 1416628 2493872 2833256 2961473 5666512 5922946 6728983 8844959 11845892 13457966 17689918 23691784 26915932 35379836 47383568 53831864 70759672 107663728 141519344 168054221 336108442 672216884 698751761 1344433768 1397503522 2688867536 2795007044 5590014088 11180028176 13276283459 26552566918 53105133836 106210267672 212420535344