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11251050580 = 22571126327779
BaseRepresentation
bin10100111101001110…
…10110100001010100
31002001002211120220001
422132213112201110
5141020232104310
65100233021044
7545545231510
oct123647264124
932032746801
1011251050580
114853a19910
12221bb54784
1310a3c472a3
1478a381140
1545cb2e93a
hex29e9d6854

11251050580 has 96 divisors (see below), whose sum is σ = 29570365440. Its totient is φ = 3493361280.

The previous prime is 11251050563. The next prime is 11251050617. The reversal of 11251050580 is 8505015211.

11251050580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112510505802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 31 ways as a sum of consecutive naturals, for example, 391131 + ... + 418909.

It is an arithmetic number, because the mean of its divisors is an integer number (308024640).

Almost surely, 211251050580 is an apocalyptic number.

11251050580 is a gapful number since it is divisible by the number (10) 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 11251050580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14785182720).

11251050580 is an abundant number, since it is smaller than the sum of its proper divisors (18319314860).

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

11251050580 is a wasteful number, since it uses less digits than its factorization.

11251050580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28069 (or 28067 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 28.

Adding to 11251050580 its reverse (8505015211), we get a palindrome (19756065791).

The spelling of 11251050580 in words is "eleven billion, two hundred fifty-one million, fifty thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 263 308 385 526 770 1052 1315 1540 1841 2630 2893 3682 5260 5786 7364 9205 11572 14465 18410 20251 27779 28930 36820 40502 55558 57860 81004 101255 111116 138895 194453 202510 277790 305569 388906 405020 555580 611138 777812 972265 1222276 1527845 1944530 2138983 3055690 3889060 4277966 6111380 7305877 8555932 10694915 14611754 21389830 29223508 36529385 42779660 51141139 73058770 80364647 102282278 146117540 160729294 204564556 255705695 321458588 401823235 511411390 562552529 803646470 1022822780 1125105058 1607292940 2250210116 2812762645 5625525290 11251050580