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11454330552 = 2337222514327
BaseRepresentation
bin10101010101011101…
…10011011010111000
31002120021100021120220
422222232303122320
5141424302034202
65132334020040
7553564126500
oct125256633270
932507307526
1011454330552
114948742095
122278047620
1311070ac4b2
147a9378a00
154708d5abc
hex2aabb36b8

11454330552 has 96 divisors (see below), whose sum is σ = 33333563520. Its totient is φ = 3270456000.

The previous prime is 11454330493. The next prime is 11454330581. The reversal of 11454330552 is 25503345411.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2645013 + ... + 2649339.

It is an arithmetic number, because the mean of its divisors is an integer number (347224620).

Almost surely, 211454330552 is an apocalyptic number.

11454330552 is a gapful number since it is divisible by the number (12) 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 11454330552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16666781760).

11454330552 is an abundant number, since it is smaller than the sum of its proper divisors (21879232968).

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

11454330552 is a wasteful number, since it uses less digits than its factorization.

11454330552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 11454330552 its reverse (25503345411), we get a palindrome (36957675963).

The spelling of 11454330552 in words is "eleven billion, four hundred fifty-four million, three hundred thirty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 2251 4327 4502 6753 8654 9004 12981 13506 15757 17308 18008 25962 27012 30289 31514 34616 47271 51924 54024 60578 63028 90867 94542 103848 110299 121156 126056 181734 189084 212023 220598 242312 330897 363468 378168 424046 441196 636069 661794 726936 848092 882392 1272138 1323588 1696184 2544276 2647176 5088552 9740077 19480154 29220231 38960308 58440462 68180539 77920616 116880924 136361078 204541617 233761848 272722156 409083234 477263773 545444312 818166468 954527546 1431791319 1636332936 1909055092 2863582638 3818110184 5727165276 11454330552