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213366472704 = 2173671129
BaseRepresentation
bin1100011010110110100…
…0100000000000000000
3202101201212122212000000
43012231220200000000
511443433304111304
6242004052000000
721262264044120
oct3065550400000
9671655585000
10213366472704
11825408a1a60
1235428000000
13171745c3b18
14a4813a4c80
15583bb65939
hex31ada20000

213366472704 has 1008 divisors, whose sum is σ = 825184221120. Its totient is φ = 53508833280.

The previous prime is 213366472691. The next prime is 213366472717. The reversal of 213366472704 is 407274663312.

213366472704 is a `hidden beast` number, since 2 + 1 + 336 + 6 + 47 + 270 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (213366472691) and next prime (213366472717).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 213366472704.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 7357464562 + ... + 7357464590.

It is an arithmetic number, because the mean of its divisors is an integer number (818635140).

Almost surely, 2213366472704 is an apocalyptic number.

213366472704 is a gapful number since it is divisible by the number (24) 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 213366472704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412592110560).

213366472704 is an abundant number, since it is smaller than the sum of its proper divisors (611817748416).

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

213366472704 is an frugal number, since it uses more digits than its factorization.

213366472704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 213366472704 in words is "two hundred thirteen billion, three hundred sixty-six million, four hundred seventy-two thousand, seven hundred four".