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55022120665216 = 271712721567729
BaseRepresentation
bin11001000001010110101011…
…11101010000000010000000
321012211001201012012121120221
430200223111331100002000
524202440300342241331
6313004451400312424
714406134304633505
oct1440532575200200
9235731635177527
1055022120665216
1116593828767851
1262077a4a72714
132491743636b53
14d83128b814ac
156563b9397711
hex320ad5f50080

55022120665216 has 96 divisors (see below), whose sum is σ = 116983432539900. Its totient is φ = 25688866258944.

The previous prime is 55022120665163. The next prime is 55022120665283. The reversal of 55022120665216 is 61256602122055.

It can be written as a sum of positive squares in 2 ways, for example, as 41035298574400 + 13986822090816 = 6405880^2 + 3739896^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 34312840 + ... + 35880568.

Almost surely, 255022120665216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55022120665216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58491716269950).

55022120665216 is an abundant number, since it is smaller than the sum of its proper divisors (61961311874684).

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

55022120665216 is a wasteful number, since it uses less digits than its factorization.

55022120665216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568014 (or 1567875 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 55022120665216 in words is "fifty-five trillion, twenty-two billion, one hundred twenty million, six hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 127 128 136 254 272 508 544 1016 1088 2032 2159 2176 4064 4318 8128 8636 16129 16256 17272 32258 34544 64516 69088 129032 138176 258064 274193 276352 516128 548386 1032256 1096772 1567729 2064512 2193544 3135458 4387088 6270916 8774176 12541832 17548352 25083664 26651393 35096704 50167328 53302786 100334656 106605572 199101583 200669312 213211144 398203166 426422288 796406332 852844576 1592812664 1705689152 3185625328 3384726911 3411378304 6371250656 6769453822 12742501312 13538907644 25285901041 25485002624 27077815288 50571802082 54155630576 101143604164 108311261152 202287208328 216622522304 404574416656 429860317697 433245044608 809148833312 859720635394 1618297666624 1719441270788 3236595333248 3438882541576 6877765083152 13755530166304 27511060332608 55022120665216