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21270505425 = 35213374611279
BaseRepresentation
bin10011110011110100…
…100010011111010001
32000220101012122001020
4103303310202133101
5322030222133200
613434352430053
71352050212231
oct236364423721
960811178036
1021270505425
119025711604
124157548329
13200c9869b0
14105ad29cc1
15847581ea0
hex4f3d227d1

21270505425 has 96 divisors (see below), whose sum is σ = 39010836480. Its totient is φ = 10158566400.

The previous prime is 21270505411. The next prime is 21270505429. The reversal of 21270505425 is 52450507212.

It is not a de Polignac number, because 21270505425 - 27 = 21270505297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21270505429) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 16629936 + ... + 16631214.

It is an arithmetic number, because the mean of its divisors is an integer number (406362880).

Almost surely, 221270505425 is an apocalyptic number.

21270505425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21270505425 is a deficient number, since it is larger than the sum of its proper divisors (17740331055).

21270505425 is a wasteful number, since it uses less digits than its factorization.

21270505425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 33.

The spelling of 21270505425 in words is "twenty-one billion, two hundred seventy million, five hundred five thousand, four hundred twenty-five".

Divisors: 1 3 5 13 15 25 37 39 65 75 111 185 195 325 461 481 555 925 975 1279 1383 1443 2305 2405 2775 3837 5993 6395 6915 7215 11525 12025 16627 17057 17979 19185 29965 31975 34575 36075 47323 49881 51171 83135 85285 89895 95925 141969 149825 221741 236615 249405 255855 415675 426425 449475 589619 615199 665223 709845 1108705 1183075 1247025 1279275 1768857 1845597 2948095 3075995 3326115 3549225 5543525 7665047 8844285 9227985 14740475 15379975 16630575 21815903 22995141 38325235 44221425 46139925 65447709 109079515 114975705 191626175 283606739 327238545 545397575 574878525 850820217 1418033695 1636192725 4254101085 7090168475 21270505425