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11051583830352 = 24321323801248041
BaseRepresentation
bin1010000011010010010110…
…1110100111100101010000
31110010112001212201202201200
42200310211232213211100
52422032120430032402
635301005540031200
72220310356412302
oct240644556474520
943115055652650
1011051583830352
113580a4aa5a16a
1212a5a55092500
136222103579b0
142a2c8438b972
1514272510721c
hexa0d25ba7950

11051583830352 has 120 divisors (see below), whose sum is σ = 33309779449128. Its totient is φ = 3400330752000.

The previous prime is 11051583830351. The next prime is 11051583830389. The reversal of 11051583830352 is 25303838515011.

11051583830352 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 1 + 583 + 8 + 30 + 35 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3836364664896 + 7215219165456 = 1958664^2 + 2686116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11051583830298 and 11051583830307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11051583830351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44431452 + ... + 44679492.

Almost surely, 211051583830352 is an apocalyptic number.

11051583830352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11051583830352 is an abundant number, since it is smaller than the sum of its proper divisors (22258195618776).

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

11051583830352 is a wasteful number, since it uses less digits than its factorization.

11051583830352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271869 (or 271860 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 11051583830352 in words is "eleven trillion, fifty-one billion, five hundred eighty-three million, eight hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 23801 47602 71403 95204 142806 190408 214209 248041 285612 309413 380816 428418 496082 571224 618826 744123 856836 928239 992164 1142448 1237652 1488246 1713672 1856478 1984328 2232369 2475304 2784717 2976492 3224533 3427344 3712956 3968656 4464738 4950608 5569434 5952984 6449066 7425912 8929476 9673599 11138868 11905968 12898132 14851824 17858952 19347198 22277736 25796264 29020797 35717904 38694396 44555472 51592528 58041594 77388792 116083188 154777584 232166376 464332752 5903623841 11807247682 17710871523 23614495364 35421743046 47228990728 53132614569 70843486092 76747109933 94457981456 106265229138 141686972184 153494219866 212530458276 230241329799 283373944368 306988439732 425060916552 460482659598 613976879464 690723989397 850121833104 920965319196 1227953758928 1381447978794 1841930638392 2762895957588 3683861276784 5525791915176 11051583830352