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5515433440 = 2551129108061
BaseRepresentation
bin1010010001011111…
…01101010111100000
3112020101021001022121
411020233231113200
542243422332230
62311142514024
7253451260606
oct51057552740
915211231277
105515433440
112380355860
12109b135914
1369b8886aa
143a4713876
1522431c77a
hex148bed5e0

5515433440 has 96 divisors (see below), whose sum is σ = 14705076960. Its totient is φ = 1936435200.

The previous prime is 5515433423. The next prime is 5515433467. The reversal of 5515433440 is 443345155.

It is a super-3 number, since 3×55154334403 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5515433396 and 5515433405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2991 + ... + 105070.

It is an arithmetic number, because the mean of its divisors is an integer number (153177885).

Almost surely, 25515433440 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 5515433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7352538480).

5515433440 is an abundant number, since it is smaller than the sum of its proper divisors (9189643520).

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

5515433440 is a wasteful number, since it uses less digits than its factorization.

5515433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108116 (or 108108 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The square root of 5515433440 is about 74265.9642097240. The cubic root of 5515433440 is about 1766.8236990276.

Adding to 5515433440 its reverse (443345155), we get a palindrome (5958778595).

The spelling of 5515433440 in words is "five billion, five hundred fifteen million, four hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 80 88 110 116 145 160 176 220 232 290 319 352 440 464 580 638 880 928 1160 1276 1595 1760 2320 2552 3190 4640 5104 6380 10208 12760 25520 51040 108061 216122 432244 540305 864488 1080610 1188671 1728976 2161220 2377342 3133769 3457952 4322440 4754684 5943355 6267538 8644880 9509368 11886710 12535076 15668845 17289760 19018736 23773420 25070152 31337690 34471459 38037472 47546840 50140304 62675380 68942918 95093680 100280608 125350760 137885836 172357295 190187360 250701520 275771672 344714590 501403040 551543344 689429180 1103086688 1378858360 2757716720 5515433440