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5536905840 = 2432518142487
BaseRepresentation
bin1010010100000011…
…00111101001110000
3112021212122221220200
411022001213221300
542314421441330
62313231035200
7254131631424
oct51201475160
915255587820
105536905840
112391491344
1210a636bb00
136a316605b
143a7502b84
1522615ea60
hex14a067a70

5536905840 has 120 divisors (see below), whose sum is σ = 18697949088. Its totient is φ = 1468316160.

The previous prime is 5536905839. The next prime is 5536905841. The reversal of 5536905840 is 485096355.

5536905840 is a `hidden beast` number, since 5 + 5 + 3 + 69 + 0 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5536905839) and next prime (5536905841).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×55369058402 = 61314652562052211200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5536905841) 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, 109077 + ... + 151563.

Almost surely, 25536905840 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 5536905840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9348974544).

5536905840 is an abundant number, since it is smaller than the sum of its proper divisors (13161043248).

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

5536905840 is a wasteful number, since it uses less digits than its factorization.

5536905840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42687 (or 42678 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 5536905840 is about 74410.3879844743. The cubic root of 5536905840 is about 1769.1135655227.

The spelling of 5536905840 in words is "five billion, five hundred thirty-six million, nine hundred five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 181 240 360 362 543 720 724 905 1086 1448 1629 1810 2172 2715 2896 3258 3620 4344 5430 6516 7240 8145 8688 10860 13032 14480 16290 21720 26064 32580 42487 43440 65160 84974 127461 130320 169948 212435 254922 339896 382383 424870 509844 637305 679792 764766 849740 1019688 1274610 1529532 1699480 1911915 2039376 2549220 3059064 3398960 3823830 5098440 6118128 7647660 7690147 10196880 15295320 15380294 23070441 30590640 30760588 38450735 46140882 61521176 69211323 76901470 92281764 115352205 123042352 138422646 153802940 184563528 230704410 276845292 307605880 346056615 369127056 461408820 553690584 615211760 692113230 922817640 1107381168 1384226460 1845635280 2768452920 5536905840