Search a number
-
+
212173570164704 = 252353139257915173
BaseRepresentation
bin110000001111100010000010…
…010001111100011111100000
31000211020121001220121002202112
4300033202002101330133200
5210302222432430232304
62031131105330334452
762456014601355611
oct6017420221743740
91024217056532675
10212173570164704
1161672340005965
121b9687ab42a428
139150b6046a925
143a5738149dc08
15197e1c4e76b6e
hexc0f88247c7e0

212173570164704 has 192 divisors, whose sum is σ = 447500342822400. Its totient is φ = 98798611372032.

The previous prime is 212173570164649. The next prime is 212173570164707. The reversal of 212173570164704 is 407461075371212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212173570164707) 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, 13983619262 + ... + 13983634434.

It is an arithmetic number, because the mean of its divisors is an integer number (2330730952200).

Almost surely, 2212173570164704 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 212173570164704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223750171411200).

212173570164704 is an abundant number, since it is smaller than the sum of its proper divisors (235326772657696).

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

212173570164704 is a wasteful number, since it uses less digits than its factorization.

212173570164704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17977 (or 17969 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 50.

The spelling of 212173570164704 in words is "two hundred twelve trillion, one hundred seventy-three billion, five hundred seventy million, one hundred sixty-four thousand, seven hundred four".