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216424814382 = 23374099139681
BaseRepresentation
bin1100100110001111101…
…1001001011100101110
3202200122000110201002000
43021203323021130232
512021214223030012
6243231342513130
721431131366140
oct3114373113456
9680560421060
10216424814382
1183870190367
1235b402957a6
13175410c455a
14a691636c90
15596a3d0ddc
hex3263ec972e

216424814382 has 64 divisors (see below), whose sum is σ = 549788352000. Its totient is φ = 61820133120.

The previous prime is 216424814363. The next prime is 216424814383. The reversal of 216424814382 is 283418424612.

216424814382 is a `hidden beast` number, since 2 + 1 + 6 + 424 + 8 + 143 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216424814383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1479582 + ... + 1619262.

It is an arithmetic number, because the mean of its divisors is an integer number (8590443000).

Almost surely, 2216424814382 is an apocalyptic number.

216424814382 is an abundant number, since it is smaller than the sum of its proper divisors (333363537618).

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

216424814382 is a wasteful number, since it uses less digits than its factorization.

216424814382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143798 (or 143792 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 216424814382 in words is "two hundred sixteen billion, four hundred twenty-four million, eight hundred fourteen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 4099 8198 12297 24594 28693 36891 57386 73782 86079 110673 139681 172158 221346 258237 279362 419043 516474 774711 838086 977767 1257129 1549422 1955534 2514258 2933301 3771387 5866602 7542774 8799903 17599806 26399709 52799418 572552419 1145104838 1717657257 3435314514 4007866933 5152971771 8015733866 10305943542 12023600799 15458915313 24047201598 30917830626 36070802397 72141604794 108212407191 216424814382