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22002122127008 = 2513725719528141
BaseRepresentation
bin1010000000010110001001…
…01011000111011010100000
32212220101022201110120121102
411000023010223013122200
510340440321231031013
6114443345123413532
74430413045222112
oct500130453073240
985811281416542
1022002122127008
11701305838a2a1
1225741aa2242a8
13c37a393b255a
14560ca08b73b2
152824d42ebd58
hex1402c4ac76a0

22002122127008 has 48 divisors (see below), whose sum is σ = 43802637969384. Its totient is φ = 10878267555840.

The previous prime is 22002122127001. The next prime is 22002122127017. The reversal of 22002122127008 is 80072122120022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20891737279504 + 1110384847504 = 4570748^2 + 1053748^2 .

It is not an unprimeable number, because it can be changed into a prime (22002122127001) 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 7 ways as a sum of consecutive naturals, for example, 8637383 + ... + 10890758.

Almost surely, 222002122127008 is an apocalyptic number.

It is an amenable number.

22002122127008 is a deficient number, since it is larger than the sum of its proper divisors (21800515842376).

22002122127008 is a wasteful number, since it uses less digits than its factorization.

22002122127008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19528545 (or 19528537 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The spelling of 22002122127008 in words is "twenty-two trillion, two billion, one hundred twenty-two million, one hundred twenty-seven thousand, eight".

Divisors: 1 2 4 8 16 32 137 257 274 514 548 1028 1096 2056 2192 4112 4384 8224 35209 70418 140836 281672 563344 1126688 19528141 39056282 78112564 156225128 312450256 624900512 2675355317 5018732237 5350710634 10037464474 10701421268 20074928948 21402842536 40149857896 42805685072 80299715792 85611370144 160599431584 687566316469 1375132632938 2750265265876 5500530531752 11001061063504 22002122127008