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11248275804 = 22319612113833
BaseRepresentation
bin10100111100111001…
…10001000101011100
31002000220121121121120
422132130301011130
5141014024311204
65100053330540
7545512524003
oct123634610534
932026547546
1011248275804
1148523a4107
12221b036a50
1310a34b52cc
14789c5bc3a
1545c7826d9
hex29e73115c

11248275804 has 96 divisors (see below), whose sum is σ = 28220693760. Its totient is φ = 3476390400.

The previous prime is 11248275803. The next prime is 11248275809. The reversal of 11248275804 is 40857284211.

11248275804 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 not an unprimeable number, because it can be changed into a prime (11248275803) 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 31 ways as a sum of consecutive naturals, for example, 2932672 + ... + 2936504.

It is an arithmetic number, because the mean of its divisors is an integer number (293965560).

Almost surely, 211248275804 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 11248275804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14110346880).

11248275804 is an abundant number, since it is smaller than the sum of its proper divisors (16972417956).

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

11248275804 is a wasteful number, since it uses less digits than its factorization.

11248275804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 11248275804 in words is "eleven billion, two hundred forty-eight million, two hundred seventy-five thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 114 122 183 211 228 244 366 422 633 732 844 1159 1266 2318 2532 3477 3833 4009 4636 6954 7666 8018 11499 12027 12871 13908 15332 16036 22998 24054 25742 38613 45996 48108 51484 72827 77226 145654 154452 218481 233813 244549 291308 436962 467626 489098 701439 733647 808763 873924 935252 978196 1402878 1467294 1617526 2426289 2805756 2934588 3235052 4442447 4852578 8884894 9705156 13327341 15366497 17769788 26654682 30732994 46099491 49334543 53309364 61465988 92198982 98669086 148003629 184397964 197338172 296007258 592014516 937356317 1874712634 2812068951 3749425268 5624137902 11248275804