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210606809216 = 2723125956821
BaseRepresentation
bin1100010000100100100…
…1001110000010000000
3202010121112212102101012
43010021021032002000
511422310320343331
6240430150500052
721134014225016
oct3041111160200
9663545772335
10210606809216
1181355064a31
1234997964628
1316b2494a64b
14a29ca808b6
15572974782b
hex310924e080

210606809216 has 64 divisors (see below), whose sum is σ = 438165806400. Its totient is φ = 100643220480.

The previous prime is 210606809201. The next prime is 210606809219. The reversal of 210606809216 is 612908606012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (210606809219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3678086 + ... + 3734906.

It is an arithmetic number, because the mean of its divisors is an integer number (6846340725).

Almost surely, 2210606809216 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 210606809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219082903200).

210606809216 is an abundant number, since it is smaller than the sum of its proper divisors (227558997184).

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

210606809216 is a wasteful number, since it uses less digits than its factorization.

210606809216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58117 (or 58105 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 210606809216 in words is "two hundred ten billion, six hundred six million, eight hundred nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1259 1472 2518 2944 5036 10072 20144 28957 40288 56821 57914 80576 113642 115828 161152 227284 231656 454568 463312 909136 926624 1306883 1818272 1853248 2613766 3636544 3706496 5227532 7273088 10455064 20910128 41820256 71537639 83640512 143075278 167281024 286150556 572301112 1144602224 1645365697 2289204448 3290731394 4578408896 6581462788 9156817792 13162925576 26325851152 52651702304 105303404608 210606809216