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11255303424 = 283173127809
BaseRepresentation
bin10100111101101111…
…00100110100000000
31002001101211122200210
422132313210310000
5141022324202144
65100504114120
7545626333461
oct123667446400
932041748623
1011255303424
114856364062
122221465940
1310a4aa5c71
1478ab6ad68
1545d1beab9
hex29ede4d00

11255303424 has 144 divisors (see below), whose sum is σ = 32741936640. Its totient is φ = 3417047040.

The previous prime is 11255303369. The next prime is 11255303443. The reversal of 11255303424 is 42430355211.

It is a super-2 number, since 2×112553034242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11255303391 and 11255303400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390832 + ... + 418640.

It is an arithmetic number, because the mean of its divisors is an integer number (227374560).

Almost surely, 211255303424 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 11255303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16370968320).

11255303424 is an abundant number, since it is smaller than the sum of its proper divisors (21486633216).

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

11255303424 is a wasteful number, since it uses less digits than its factorization.

11255303424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27876 (or 27862 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 11255303424 its reverse (42430355211), we get a palindrome (53685658635).

The spelling of 11255303424 in words is "eleven billion, two hundred fifty-five million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 128 136 186 192 204 248 256 272 372 384 408 496 527 544 744 768 816 992 1054 1088 1488 1581 1632 1984 2108 2176 2976 3162 3264 3968 4216 4352 5952 6324 6528 7936 8432 11904 12648 13056 16864 23808 25296 27809 33728 50592 55618 67456 83427 101184 111236 134912 166854 202368 222472 333708 404736 444944 472753 667416 862079 889888 945506 1334832 1418259 1724158 1779776 1891012 2586237 2669664 2836518 3448316 3559552 3782024 5172474 5339328 5673036 6896632 7119104 7564048 10344948 10678656 11346072 13793264 14655343 15128096 20689896 21357312 22692144 27586528 29310686 30256192 41379792 43966029 45384288 55173056 58621372 60512384 82759584 87932058 90768576 110346112 117242744 121024768 165519168 175864116 181537152 220692224 234485488 331038336 351728232 363074304 468970976 662076672 703456464 937941952 1406912928 1875883904 2813825856 3751767808 5627651712 11255303424