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21005632134 = 23219137448321
BaseRepresentation
bin10011100100000010…
…001000001010000110
32000012220210200012100
4103210002020022012
5321004420212014
613352211332530
71342352633004
oct234402101206
960186720170
1021005632134
1189aa14a363
1240a28b1146
131c99b37536
141033a9ba74
1582e1b1009
hex4e4088286

21005632134 has 48 divisors (see below), whose sum is σ = 48257380080. Its totient is φ = 6584924160.

The previous prime is 21005632111. The next prime is 21005632181. The reversal of 21005632134 is 43123650012.

21005632134 is a `hidden beast` number, since 2 + 10 + 0 + 5 + 632 + 13 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21005632098 and 21005632107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177307 + ... + 271014.

It is an arithmetic number, because the mean of its divisors is an integer number (1005362085).

Almost surely, 221005632134 is an apocalyptic number.

21005632134 is an abundant number, since it is smaller than the sum of its proper divisors (27251747946).

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

21005632134 is a wasteful number, since it uses less digits than its factorization.

21005632134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448485 (or 448482 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 21005632134 in words is "twenty-one billion, five million, six hundred thirty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 137 171 274 342 411 822 1233 2466 2603 5206 7809 15618 23427 46854 448321 896642 1344963 2689926 4034889 8069778 8518099 17036198 25554297 51108594 61419977 76662891 122839954 153325782 184259931 368519862 552779793 1105559586 1166979563 2333959126 3500938689 7001877378 10502816067 21005632134