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11252933552 = 2471271575039
BaseRepresentation
bin10100111101011101…
…00010001110110000
31002001020101020211202
422132232202032300
5141021222333202
65100341230332
7545600233310
oct123656421660
932036336752
1011252933552
114854a95593
1222207023a8
1310a4456383
1478a711440
1545cda2802
hex29eba23b0

11252933552 has 80 divisors (see below), whose sum is σ = 25278382080. Its totient is φ = 4753292544.

The previous prime is 11252933519. The next prime is 11252933561. The reversal of 11252933552 is 25533925211.

It is a happy number.

11252933552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2230649 + ... + 2235687.

It is an arithmetic number, because the mean of its divisors is an integer number (315979776).

Almost surely, 211252933552 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 11252933552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12639191040).

11252933552 is an abundant number, since it is smaller than the sum of its proper divisors (14025448528).

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

11252933552 is a wasteful number, since it uses less digits than its factorization.

11252933552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5332 counting only the distinct ones).

The product of its digits is 81000, while the sum is 38.

The spelling of 11252933552 in words is "eleven billion, two hundred fifty-two million, nine hundred thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 157 254 314 508 628 889 1016 1099 1256 1778 2032 2198 2512 3556 4396 5039 7112 8792 10078 14224 17584 19939 20156 35273 39878 40312 70546 79756 80624 139573 141092 159512 279146 282184 319024 558292 564368 639953 791123 1116584 1279906 1582246 2233168 2559812 3164492 4479671 5119624 5537861 6328984 8959342 10239248 11075722 12657968 17918684 22151444 35837368 44302888 71674736 88605776 100472621 200945242 401890484 703308347 803780968 1406616694 1607561936 2813233388 5626466776 11252933552