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218538814445 = 5727011272461
BaseRepresentation
bin1100101110000111101…
…1011010101111101101
3202220002100100000222122
43023201323122233231
512040031414030240
6244221221122325
721534411162500
oct3134173325755
9686070300878
10218538814445
1184755510956
12364302593a5
13177ba074873
14a8122c9137
155a40cb14b5
hex32e1edabed

218538814445 has 24 divisors (see below), whose sum is σ = 305497766808. Its totient is φ = 149641296000.

The previous prime is 218538814427. The next prime is 218538814457. The reversal of 218538814445 is 544418835812.

It can be written as a sum of positive squares in 4 ways, for example, as 84463471876 + 134075342569 = 290626^2 + 366163^2 .

It is not a de Polignac number, because 218538814445 - 28 = 218538814189 is a prime.

It is a super-2 number, since 2×2185388144452 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464486 + ... + 807975.

It is an arithmetic number, because the mean of its divisors is an integer number (12729073617).

Almost surely, 2218538814445 is an apocalyptic number.

It is an amenable number.

218538814445 is a deficient number, since it is larger than the sum of its proper divisors (86958952363).

218538814445 is a wasteful number, since it uses less digits than its factorization.

218538814445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273181 (or 1273174 counting only the distinct ones).

The product of its digits is 4915200, while the sum is 53.

The spelling of 218538814445 in words is "two hundred eighteen billion, five hundred thirty-eight million, eight hundred fourteen thousand, four hundred forty-five".

Divisors: 1 5 7 35 49 245 701 3505 4907 24535 34349 171745 1272461 6362305 8907227 44536135 62350589 311752945 891995161 4459975805 6243966127 31219830635 43707762889 218538814445