Search a number
-
+
213024414016 = 2619883198397
BaseRepresentation
bin1100011001100100111…
…1101001100101000000
3202100212001000110200201
43012121033221211000
511442233222222031
6241510112254544
721250641433351
oct3063117514500
9670761013621
10213024414016
1182385801227
1235351541454
131711b78b42b
14a44bba3d28
15581bae9d61
hex31993e9940

213024414016 has 56 divisors (see below), whose sum is σ = 445474933280. Its totient is φ = 100791516672.

The previous prime is 213024413993. The next prime is 213024414017. The reversal of 213024414016 is 610414420312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213024414017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 974530 + ... + 1172926.

Almost surely, 2213024414016 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 213024414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222737466640).

213024414016 is an abundant number, since it is smaller than the sum of its proper divisors (232450519264).

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

213024414016 is a wasteful number, since it uses less digits than its factorization.

213024414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199311 (or 199301 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 213024414016 its reverse (610414420312), we get a palindrome (823438834328).

The spelling of 213024414016 in words is "two hundred thirteen billion, twenty-four million, four hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 883 1216 1766 3532 7064 14128 16777 28256 33554 56512 67108 134216 198397 268432 396794 536864 793588 1073728 1587176 3174352 3769543 6348704 7539086 12697408 15078172 30156344 60312688 120625376 175184551 241250752 350369102 700738204 1401476408 2802952816 3328506469 5605905632 6657012938 11211811264 13314025876 26628051752 53256103504 106512207008 213024414016