Search a number
-
+
218053337620 = 225107401325391
BaseRepresentation
bin1100101100010011111…
…1011110001000010100
3202211211111211020222111
43023010333132020110
512033033123300440
6244101115440404
721516364534246
oct3130477361024
9684744736874
10218053337620
1184526473a38
1236315756104
1317740606081
14a7a7a34096
155a133664ea
hex32c4fde214

218053337620 has 48 divisors (see below), whose sum is σ = 462324941568. Its totient is φ = 86381248640.

The previous prime is 218053337617. The next prime is 218053337627. The reversal of 218053337620 is 26733350812.

218053337620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218053337627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8575125 + ... + 8600515.

It is an arithmetic number, because the mean of its divisors is an integer number (9631769616).

Almost surely, 2218053337620 is an apocalyptic number.

218053337620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218053337620 is an abundant number, since it is smaller than the sum of its proper divisors (244271603948).

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

218053337620 is a wasteful number, since it uses less digits than its factorization.

218053337620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29520 (or 29518 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 218053337620 in words is "two hundred eighteen billion, fifty-three million, three hundred thirty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 107 214 428 535 1070 2140 4013 8026 16052 20065 25391 40130 50782 80260 101564 126955 253910 429391 507820 858782 1717564 2146955 2716837 4293910 5433674 8587820 10867348 13584185 27168370 54336740 101894083 203788166 407576332 509470415 1018940830 2037881660 10902666881 21805333762 43610667524 54513334405 109026668810 218053337620