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21205354014 = 2341310069019
BaseRepresentation
bin10011101111111100…
…000000011000011110
32000201211121121010000
4103233330000120132
5321412032312024
613424104155130
71350326351355
oct235774003036
960654547100
1021205354014
118aa1962369
124139768aa6
131ccc325070
14105240a99c
158419b2cc9
hex4eff0061e

21205354014 has 40 divisors (see below), whose sum is σ = 51170759640. Its totient is φ = 6524723664.

The previous prime is 21205354013. The next prime is 21205354033. The reversal of 21205354014 is 41045350212.

21205354014 is a `hidden beast` number, since 2 + 120 + 535 + 4 + 0 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21205354013) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5032404 + ... + 5036615.

It is an arithmetic number, because the mean of its divisors is an integer number (1279268991).

Almost surely, 221205354014 is an apocalyptic number.

21205354014 is an abundant number, since it is smaller than the sum of its proper divisors (29965405626).

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

21205354014 is a wasteful number, since it uses less digits than its factorization.

21205354014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10069046 (or 10069037 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 21205354014 in words is "twenty-one billion, two hundred five million, three hundred fifty-four thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 10069019 20138038 30207057 60414114 90621171 130897247 181242342 261794494 271863513 392691741 543727026 785383482 815590539 1178075223 1631181078 2356150446 3534225669 7068451338 10602677007 21205354014