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218681869932 = 22341634140761
BaseRepresentation
bin1100101110101001110…
…1001000011001101100
3202220110022112000020000
43023222131020121230
512040330024314212
6244243331224300
721541066140051
oct3135235103154
9686408460200
10218681869932
118481923a629
1236470148090
13178108b1896
14a8272c7028
155a4d61d1dc
hex32ea74866c

218681869932 has 60 divisors (see below), whose sum is σ = 575184967896. Its totient is φ = 72446736960.

The previous prime is 218681869871. The next prime is 218681869937. The reversal of 218681869932 is 239968186812.

218681869932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 218681869932.

It is not an unprimeable number, because it can be changed into a prime (218681869937) 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 19 ways as a sum of consecutive naturals, for example, 2017569 + ... + 2123192.

Almost surely, 2218681869932 is an apocalyptic number.

It is an amenable number.

218681869932 is an abundant number, since it is smaller than the sum of its proper divisors (356503097964).

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

218681869932 is a wasteful number, since it uses less digits than its factorization.

218681869932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140940 (or 4140929 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

It can be divided in two parts, 2186818 and 69932, that added together give a triangular number (2256750 = T2124).

The spelling of 218681869932 in words is "two hundred eighteen billion, six hundred eighty-one million, eight hundred sixty-nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 163 324 326 489 652 978 1467 1956 2934 4401 5868 8802 13203 17604 26406 52812 4140761 8281522 12422283 16563044 24844566 37266849 49689132 74533698 111800547 149067396 223601094 335401641 447202188 670803282 674944043 1341606564 1349888086 2024832129 2699776172 4049664258 6074496387 8099328516 12148992774 18223489161 24297985548 36446978322 54670467483 72893956644 109340934966 218681869932