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11053485296 = 247198958363
BaseRepresentation
bin10100100101101011…
…01100110011110000
31001112100002020021022
422102311230303300
5140114143012141
65024454315012
7540626034440
oct122265546360
931470066238
1011053485296
11476244a117
122185958a68
131072033259
1476c034120
1544a606b4b
hex292d6ccf0

11053485296 has 80 divisors (see below), whose sum is σ = 26053689600. Its totient is φ = 4437379584.

The previous prime is 11053485281. The next prime is 11053485319. The reversal of 11053485296 is 69258435011.

It is a happy number.

11053485296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 160211 + ... + 218573.

It is an arithmetic number, because the mean of its divisors is an integer number (325671120).

Almost surely, 211053485296 is an apocalyptic number.

11053485296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11053485296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13026844800).

11053485296 is an abundant number, since it is smaller than the sum of its proper divisors (15000204304).

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

11053485296 is a wasteful number, since it uses less digits than its factorization.

11053485296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58486 (or 58480 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 11053485296 in words is "eleven billion, fifty-three million, four hundred eighty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 89 112 133 152 178 266 304 356 532 623 712 1064 1246 1424 1691 2128 2492 3382 4984 6764 9968 11837 13528 23674 27056 47348 58363 94696 116726 189392 233452 408541 466904 817082 933808 1108897 1634164 2217794 3268328 4435588 5194307 6536656 7762279 8871176 10388614 15524558 17742352 20777228 31049116 36360149 41554456 62098232 72720298 83108912 98691833 124196464 145440596 197383666 290881192 394767332 581762384 690842831 789534664 1381685662 1579069328 2763371324 5526742648 11053485296