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21838060188 = 2233728886323
BaseRepresentation
bin10100010101101001…
…100101101010011100
32002100221011101211000
4110111221211222130
5324211020411223
614010545230300
71402111306650
oct242551455234
962327141730
1021838060188
11929701992a
124295632390
1320a0432609
1410b2468a60
1587c2e1543
hex515a65a9c

21838060188 has 48 divisors (see below), whose sum is σ = 64705365760. Its totient is φ = 6239445552.

The previous prime is 21838060187. The next prime is 21838060241. The reversal of 21838060188 is 88106083812.

21838060188 is a `hidden beast` number, since 2 + 1 + 8 + 38 + 0 + 601 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21838060187) 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 15 ways as a sum of consecutive naturals, for example, 14442406 + ... + 14443917.

Almost surely, 221838060188 is an apocalyptic number.

21838060188 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21838060188 is an abundant number, since it is smaller than the sum of its proper divisors (42867305572).

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

21838060188 is a wasteful number, since it uses less digits than its factorization.

21838060188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28886343 (or 28886335 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 21838060188 in words is "twenty-one billion, eight hundred thirty-eight million, sixty thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 28886323 57772646 86658969 115545292 173317938 202204261 259976907 346635876 404408522 519953814 606612783 779930721 808817044 1039907628 1213225566 1559861442 1819838349 2426451132 3119722884 3639676698 5459515047 7279353396 10919030094 21838060188