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11122550553344 = 281072833143329
BaseRepresentation
bin1010000111011010101110…
…1011001011101100000000
31110101022020200010211020112
42201312223223023230000
52424212440420201334
635353343523130452
72225402112535316
oct241665353135400
943338220124215
1011122550553344
1135a905790655a
1212b775b813a28
13628b0cb5aa89
142a649752c0b6
151444ca5244ce
hexa1dabacbb00

11122550553344 has 72 divisors (see below), whose sum is σ = 22417212177360. Its totient is φ = 5507317628928.

The previous prime is 11122550553311. The next prime is 11122550553349. The reversal of 11122550553344 is 44335505522111.

It is a super-2 number, since 2×111225505533442 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11122550553349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77529872 + ... + 77673200.

It is an arithmetic number, because the mean of its divisors is an integer number (311350169130).

Almost surely, 211122550553344 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 11122550553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11208606088680).

11122550553344 is an abundant number, since it is smaller than the sum of its proper divisors (11294661624016).

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

11122550553344 is a wasteful number, since it uses less digits than its factorization.

11122550553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146285 (or 146271 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 41.

The spelling of 11122550553344 in words is "eleven trillion, one hundred twenty-two billion, five hundred fifty million, five hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 856 1712 2833 3424 5666 6848 11332 13696 22664 27392 45328 90656 143329 181312 286658 303131 362624 573316 606262 725248 1146632 1212524 2293264 2425048 4586528 4850096 9173056 9700192 15336203 18346112 19400384 30672406 36692224 38800768 61344812 77601536 122689624 245379248 406051057 490758496 812102114 981516992 1624204228 1963033984 3248408456 3926067968 6496816912 12993633824 25987267648 43447463099 51974535296 86894926198 103949070592 173789852396 347579704792 695159409584 1390318819168 2780637638336 5561275276672 11122550553344