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21205985472 = 263275259421
BaseRepresentation
bin10011101111111110…
…011010100011000000
32000201212210200022100
4103233332122203000
5321412213013342
613424125510400
71350334621350
oct235776324300
960655720270
1021205985472
118aa2253831
124139a12400
131ccc4b65c9
141052532b60
15841a89e4c
hex4eff9a8c0

21205985472 has 84 divisors (see below), whose sum is σ = 69466445776. Its totient is φ = 6058851840.

The previous prime is 21205985467. The next prime is 21205985473. The reversal of 21205985472 is 27458950212.

21205985472 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 598 + 54 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (21205985473) 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 11 ways as a sum of consecutive naturals, for example, 2625679 + ... + 2633742.

Almost surely, 221205985472 is an apocalyptic number.

It is an amenable number.

21205985472 is an abundant number, since it is smaller than the sum of its proper divisors (48260460304).

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

21205985472 is a wasteful number, since it uses less digits than its factorization.

21205985472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259446 (or 5259433 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 21205985472 in words is "twenty-one billion, two hundred five million, nine hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 5259421 10518842 15778263 21037684 31556526 36815947 42075368 47334789 63113052 73631894 84150736 94669578 110447841 126226104 147263788 168301472 189339156 220895682 252452208 294527576 331343523 336602944 378678312 441791364 504904416 589055152 662687046 757356624 883582728 1009808832 1178110304 1325374092 1514713248 1767165456 2356220608 2650748184 3029426496 3534330912 5301496368 7068661824 10602992736 21205985472