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214524213552 = 243211135431953
BaseRepresentation
bin1100011111001010100…
…0111011100100110000
3202111201120011011212200
43013302220323210300
512003321144313202
6242315010223200
721333052504635
oct3076250734460
9674646134780
10214524213552
1182a85364880
12356ab884b00
13172ca41038c
14a55105418c
1558a8604e1c
hex31f2a3b930

214524213552 has 60 divisors (see below), whose sum is σ = 654948929544. Its totient is φ = 65007336960.

The previous prime is 214524213523. The next prime is 214524213569. The reversal of 214524213552 is 255312425412.

214524213552 is a `hidden beast` number, since 2 + 1 + 4 + 52 + 42 + 13 + 552 = 666.

214524213552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 67714393 + ... + 67717560.

Almost surely, 2214524213552 is an apocalyptic number.

214524213552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214524213552 is an abundant number, since it is smaller than the sum of its proper divisors (440424715992).

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

214524213552 is a wasteful number, since it uses less digits than its factorization.

214524213552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135431978 (or 135431969 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

Adding to 214524213552 its reverse (255312425412), we get a palindrome (469836638964).

The spelling of 214524213552 in words is "two hundred fourteen billion, five hundred twenty-four million, two hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 135431953 270863906 406295859 541727812 812591718 1083455624 1218887577 1489751483 1625183436 2166911248 2437775154 2979502966 3250366872 4469254449 4875550308 5959005932 6500733744 8938508898 9751100616 11918011864 13407763347 17877017796 19502201232 23836023728 26815526694 35754035592 53631053388 71508071184 107262106776 214524213552