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218524425812 = 227112973333377
BaseRepresentation
bin1100101110000100010…
…0100001111001010100
3202220001100021000111022
43023201010201321110
512040014223111222
6244215544500312
721534144654230
oct3134104417124
9686040230438
10218524425812
1184748383520
123642747a698
13177b70a7594
14a8104215c0
155a3e8bd042
hex32e1121e54

218524425812 has 96 divisors (see below), whose sum is σ = 493908952320. Its totient is φ = 82088939520.

The previous prime is 218524425809. The next prime is 218524425827.

218524425812 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6530468 + ... + 6563844.

It is an arithmetic number, because the mean of its divisors is an integer number (5144884920).

Almost surely, 2218524425812 is an apocalyptic number.

218524425812 is a gapful number since it is divisible by the number (22) 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 218524425812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246954476160).

218524425812 is an abundant number, since it is smaller than the sum of its proper divisors (275384526508).

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

218524425812 is a wasteful number, since it uses less digits than its factorization.

218524425812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34161 (or 34159 counting only the distinct ones).

The product of its digits is 409600, while the sum is 44.

The spelling of 218524425812 in words is "two hundred eighteen billion, five hundred twenty-four million, four hundred twenty-five thousand, eight hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 733 812 1276 1466 2233 2932 4466 5131 8063 8932 10262 16126 20524 21257 32252 33377 42514 56441 66754 85028 112882 133508 148799 225764 233639 233827 297598 367147 467278 467654 595196 734294 934556 935308 967933 1468588 1636789 1935866 2570029 3273578 3871732 5140058 6547156 6775531 10280116 10647263 13551062 21294526 24465341 27102124 42589052 48930682 74530841 97861364 149061682 171257387 269118751 298123364 342514774 538237502 685029548 709494889 1076475004 1418989778 1883831257 2837979556 3767662514 4966464223 7535325028 7804443779 9932928446 15608887558 19865856892 31217775116 54631106453 109262212906 218524425812