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11255063274 = 23271361112643
BaseRepresentation
bin10100111101101101…
…01010001011101010
31002001101101110021100
422132312222023222
5141022244011044
65100455022230
7545624313360
oct123666521352
932041343240
1011255063274
11485620a694
12222136a976
1310a4a20870
1478ab07630
1545d173869
hex29edaa2ea

11255063274 has 96 divisors (see below), whose sum is σ = 30505797504. Its totient is φ = 2919680640.

The previous prime is 11255063243. The next prime is 11255063279. The reversal of 11255063274 is 47236055211.

11255063274 is a `hidden beast` number, since 1 + 1 + 2 + 550 + 6 + 32 + 74 = 666.

It is not an unprimeable number, because it can be changed into a prime (11255063279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43597 + ... + 156239.

It is an arithmetic number, because the mean of its divisors is an integer number (317768724).

Almost surely, 211255063274 is an apocalyptic number.

11255063274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11255063274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252898752).

11255063274 is an abundant number, since it is smaller than the sum of its proper divisors (19250734230).

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

11255063274 is a wasteful number, since it uses less digits than its factorization.

11255063274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112732 (or 112729 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 11255063274 in words is "eleven billion, two hundred fifty-five million, sixty-three thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 61 63 78 91 117 122 126 182 183 234 273 366 427 546 549 793 819 854 1098 1281 1586 1638 2379 2562 3843 4758 5551 7137 7686 11102 14274 16653 33306 49959 99918 112643 225286 337929 675858 788501 1013787 1464359 1577002 2027574 2365503 2928718 4393077 4731006 6871223 7096509 8786154 10250513 13179231 13742446 14193018 20501026 20613669 26358462 30751539 41227338 48098561 61503078 61841007 89325899 92254617 96197122 123682014 144295683 178651798 184509234 267977697 288591366 432887049 535955394 625281293 803933091 865774098 1250562586 1607866182 1875843879 3751687758 5627531637 11255063274