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212463723066 = 237193141209477
BaseRepresentation
bin1100010111011111010…
…0110010001000111010
3202022101221222102022020
43011313310302020322
511440111203114231
6241334322535310
721231022564020
oct3056764621072
9668357872266
10212463723066
1182118261881
1235215807536
131705c576a3a
14a3d7530710
1557d7794396
hex3177d3223a

212463723066 has 128 divisors (see below), whose sum is σ = 540553789440. Its totient is φ = 54296179200.

The previous prime is 212463723041. The next prime is 212463723067. The reversal of 212463723066 is 660327364212.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (212463723067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 909520 + ... + 1118996.

It is an arithmetic number, because the mean of its divisors is an integer number (4223076480).

Almost surely, 2212463723066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212463723066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270276894720).

212463723066 is an abundant number, since it is smaller than the sum of its proper divisors (328090066374).

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

212463723066 is a wasteful number, since it uses less digits than its factorization.

212463723066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209580.

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 212463723066 in words is "two hundred twelve billion, four hundred sixty-three million, seven hundred twenty-three thousand, sixty-six".

Divisors: 1 2 3 6 7 14 19 21 31 38 41 42 57 62 82 93 114 123 133 186 217 246 266 287 399 434 574 589 651 779 798 861 1178 1271 1302 1558 1722 1767 2337 2542 3534 3813 4123 4674 5453 7626 8246 8897 10906 12369 16359 17794 24149 24738 26691 32718 48298 53382 72447 144894 169043 209477 338086 418954 507129 628431 1014258 1256862 1466339 2932678 3980063 4399017 6493787 7960126 8588557 8798034 11940189 12987574 17177114 19481361 23880378 25765671 27860441 38962722 45456509 51531342 55720882 60119899 83581323 90913018 120239798 123381953 136369527 163182583 167162646 180359697 246763906 266245267 272739054 326365166 360719394 370145859 489547749 532490534 740291718 798735801 863673671 979095498 1142278081 1597471602 1727347342 1863716869 2284556162 2591021013 3426834243 3727433738 5058660073 5182042026 5591150607 6853668486 10117320146 11182301214 15175980219 30351960438 35410620511 70821241022 106231861533 212463723066