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218271689988 = 2231111391116063
BaseRepresentation
bin1100101101001000000…
…0011010110100000100
3202212101201200201010020
43023102000122310010
512034010023034423
6244134515455140
721524655516132
oct3132200326404
9685351621106
10218271689988
1184628751340
12363768b74b0
1317776917861
14a7c8a32752
155a275e84e3
hex32d201ad04

218271689988 has 96 divisors (see below), whose sum is σ = 561167695872. Its totient is φ = 65481561600.

The previous prime is 218271689953. The next prime is 218271690067. The reversal of 218271689988 is 889986172812.

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, 13580445 + ... + 13596507.

It is an arithmetic number, because the mean of its divisors is an integer number (5845496832).

Almost surely, 2218271689988 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 218271689988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280583847936).

218271689988 is an abundant number, since it is smaller than the sum of its proper divisors (342896005884).

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

218271689988 is a wasteful number, since it uses less digits than its factorization.

218271689988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17105 (or 17103 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 69.

The spelling of 218271689988 in words is "two hundred eighteen billion, two hundred seventy-one million, six hundred eighty-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 678 911 1243 1356 1822 2486 2733 3644 3729 4972 5466 7458 10021 10932 14916 16063 20042 30063 32126 40084 48189 60126 64252 96378 102943 120252 176693 192756 205886 308829 353386 411772 530079 617658 706772 1060158 1132373 1235316 1815119 2120316 2264746 3397119 3630238 4529492 5445357 6794238 7260476 10890714 13588476 14633393 19966309 21781428 29266786 39932618 43900179 58533572 59898927 79865236 87800358 119797854 160967323 175600716 239595708 321934646 482901969 643869292 965803938 1653573409 1931607876 3307146818 4960720227 6614293636 9921440454 18189307499 19842880908 36378614998 54567922497 72757229996 109135844994 218271689988