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214201638776202 = 237111034501358357
BaseRepresentation
bin110000101101000010110100…
…100101101110110110001010
31001002102110212111111011011020
4300231002310211232312022
5211033434424011314302
62035322512511213310
763055362202212360
oct6055026445566612
91032373774434136
10214201638776202
116228444a955a30
1220035867517236
13926a187bc354c
143ac75b3a7d630
1519b6d2221eebc
hexc2d0b496ed8a

214201638776202 has 64 divisors (see below), whose sum is σ = 539298742155264. Its totient is φ = 55096626277440.

The previous prime is 214201638776197. The next prime is 214201638776227. The reversal of 214201638776202 is 202677836102412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2250631593 + ... + 2250726764.

It is an arithmetic number, because the mean of its divisors is an integer number (8426542846176).

Almost surely, 2214201638776202 is an apocalyptic number.

214201638776202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

214201638776202 is an abundant number, since it is smaller than the sum of its proper divisors (325097103379062).

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

214201638776202 is a wasteful number, since it uses less digits than its factorization.

214201638776202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501358483.

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 214201638776202 in words is "two hundred fourteen trillion, two hundred one billion, six hundred thirty-eight million, seven hundred seventy-six thousand, two hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 103 154 206 231 309 462 618 721 1133 1442 2163 2266 3399 4326 6798 7931 15862 23793 47586 4501358357 9002716714 13504075071 27008150142 31509508499 49514941927 63019016998 94528525497 99029883854 148544825781 189057050994 297089651562 346604593489 463639910771 693209186978 927279821542 1039813780467 1390919732313 2079627560934 2781839464626 3245479375397 5100039018481 6490958750794 9736438126191 10200078036962 15300117055443 19472876252382 30600234110886 35700273129367 71400546258734 107100819388101 214201638776202