Search a number
-
+
218883332668 = 227111356699643
BaseRepresentation
bin1100101111011001110…
…1101001101000111100
3202220222100121101010211
43023312131221220330
512041233113121133
6244315325242204
721546063426010
oct3136635515074
9686870541124
10218883332668
1184911a31560
1236507703364
131784355b8c0
14a845d6a540
155a61165bcd
hex32f6769a3c

218883332668 has 96 divisors (see below), whose sum is σ = 514443363840. Its totient is φ = 78697232640.

The previous prime is 218883332573. The next prime is 218883332687. The reversal of 218883332668 is 866233388812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22693855 + ... + 22703497.

It is an arithmetic number, because the mean of its divisors is an integer number (5358785040).

Almost surely, 2218883332668 is an apocalyptic number.

218883332668 is a gapful number since it is divisible by the number (28) 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 218883332668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257221681920).

218883332668 is an abundant number, since it is smaller than the sum of its proper divisors (295560031172).

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

218883332668 is a wasteful number, since it uses less digits than its factorization.

218883332668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15347 (or 15345 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 58.

The spelling of 218883332668 in words is "two hundred eighteen billion, eight hundred eighty-three million, three hundred thirty-two thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 5669 9643 11338 19286 22676 38572 39683 62359 67501 73697 79366 106073 124718 125359 135002 147394 158732 212146 249436 250718 270004 294788 424292 436513 501436 515879 742511 810667 873026 877513 1031758 1378949 1485022 1621334 1746052 1755026 2063516 2757898 2970044 3242668 3510052 5515796 5674669 9652643 11349338 19305286 22698676 38610572 54666167 109332334 218664668 382663169 601327837 710660171 765326338 1202655674 1421320342 1530652676 2405311348 2842640684 4209294859 4974621197 7817261881 8418589718 9949242394 15634523762 16837179436 19898484788 31269047524 54720833167 109441666334 218883332668