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18211284252 = 2232785012
BaseRepresentation
bin10000111101011110…
…100010010100011100
31202000011202002112100
4100331132202110130
5244244042044002
612211031005100
71213202235120
oct207536422434
952004662470
1018211284252
1177a5882447
123642b09790
131942c38b55
14c4a909580
15718be111c
hex43d7a251c

18211284252 has 54 divisors (see below), whose sum is σ = 52616566184. Its totient is φ = 5202612000.

The previous prime is 18211284239. The next prime is 18211284257. The reversal of 18211284252 is 25248211281.

It is a happy number.

18211284252 is a `hidden beast` number, since 18 + 211 + 2 + 8 + 425 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18211284257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2138002 + ... + 2146502.

Almost surely, 218211284252 is an apocalyptic number.

18211284252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18211284252 is an abundant number, since it is smaller than the sum of its proper divisors (34405281932).

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

18211284252 is an frugal number, since it uses more digits than its factorization.

18211284252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17019 (or 8513 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The spelling of 18211284252 in words is "eighteen billion, two hundred eleven million, two hundred eighty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 8501 17002 25503 34004 51006 59507 76509 102012 119014 153018 178521 238028 306036 357042 535563 714084 1071126 2142252 72267001 144534002 216801003 289068004 433602006 505869007 650403009 867204012 1011738014 1300806018 1517607021 2023476028 2601612036 3035214042 4552821063 6070428084 9105642126 18211284252