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21829250106 = 2321212736117
BaseRepresentation
bin10100010101000111…
…111110110000111010
32002100022120210122200
4110111013332300322
5324201242000411
614010032331030
71401643364406
oct242507766072
962308523580
1021829250106
119292051774
1242926a3a76
13209b669551
1410b1214106
1587b650e56
hex5151fec3a

21829250106 has 12 divisors (see below), whose sum is σ = 47296708602. Its totient is φ = 7276416696.

The previous prime is 21829250087. The next prime is 21829250111. The reversal of 21829250106 is 60105292812.

21829250106 is a `hidden beast` number, since 218 + 292 + 50 + 106 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21288269025 + 540981081 = 145905^2 + 23259^2 .

It is a super-2 number, since 2×218292501062 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

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 5 ways as a sum of consecutive naturals, for example, 606368041 + ... + 606368076.

Almost surely, 221829250106 is an apocalyptic number.

21829250106 is an abundant number, since it is smaller than the sum of its proper divisors (25467458496).

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

21829250106 is a wasteful number, since it uses less digits than its factorization.

21829250106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212736125 (or 1212736122 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 21829250106 in words is "twenty-one billion, eight hundred twenty-nine million, two hundred fifty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 1212736117 2425472234 3638208351 7276416702 10914625053 21829250106