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11350433440 = 255418919441
BaseRepresentation
bin10101001001000100…
…11101111010100000
31002022000211202112201
422210202131322200
5141221202332230
65114143102544
7551163043453
oct124442357240
932260752481
1011350433440
1148a5029705
1222492a1a54
1310bb702c08
1479965149a
154667115ca
hex2a489dea0

11350433440 has 96 divisors (see below), whose sum is σ = 27779507280. Its totient is φ = 4379443200.

The previous prime is 11350433431. The next prime is 11350433447. The reversal of 11350433440 is 4433405311.

It can be written as a sum of positive squares in 8 ways, for example, as 176252176 + 11174181264 = 13276^2 + 105708^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11350433399 and 11350433408.

It is not an unprimeable number, because it can be changed into a prime (11350433447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574120 + ... + 593560.

Almost surely, 211350433440 is an apocalyptic number.

11350433440 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 11350433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13889753640).

11350433440 is an abundant number, since it is smaller than the sum of its proper divisors (16429073840).

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

11350433440 is a wasteful number, since it uses less digits than its factorization.

11350433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19586 (or 19578 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 11350433440 its reverse (4433405311), we get a palindrome (15783838751).

The spelling of 11350433440 in words is "eleven billion, three hundred fifty million, four hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 89 160 164 178 205 328 356 410 445 656 712 820 890 1312 1424 1640 1780 2848 3280 3560 3649 6560 7120 7298 14240 14596 18245 19441 29192 36490 38882 58384 72980 77764 97205 116768 145960 155528 194410 291920 311056 388820 583840 622112 777640 797081 1555280 1594162 1730249 3110560 3188324 3460498 3985405 6376648 6920996 7970810 8651245 12753296 13841992 15941620 17302490 25506592 27683984 31883240 34604980 55367968 63766480 69209960 70940209 127532960 138419920 141880418 276839840 283760836 354701045 567521672 709402090 1135043344 1418804180 2270086688 2837608360 5675216720 11350433440