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27986313240 = 2334517508103
BaseRepresentation
bin11010000100000111…
…010100000000011000
32200020102012000110000
4122010013110000120
5424303444010430
620505015453000
72010345510654
oct320407240030
980212160400
1027986313240
11109615a93a6
125510687160
132840138082
1414d6c29a64
15adbe60e60
hex6841d4018

27986313240 has 160 divisors (see below), whose sum is σ = 99598546080. Its totient is φ = 7024002048.

The previous prime is 27986313239. The next prime is 27986313253. The reversal of 27986313240 is 4231368972.

27986313240 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 631 + 3 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 198972 + ... + 309131.

It is an arithmetic number, because the mean of its divisors is an integer number (622490913).

Almost surely, 227986313240 is an apocalyptic number.

27986313240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27986313240 is an abundant number, since it is smaller than the sum of its proper divisors (71612232840).

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

27986313240 is a wasteful number, since it uses less digits than its factorization.

27986313240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508143 (or 508130 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 27986313240 in words is "twenty-seven billion, nine hundred eighty-six million, three hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4590 5508 6120 6885 9180 11016 13770 18360 27540 55080 508103 1016206 1524309 2032412 2540515 3048618 4064824 4572927 5081030 6097236 7621545 8637751 9145854 10162060 12194472 13718781 15243090 17275502 18291708 20324120 22864635 25913253 27437562 30486180 34551004 36583416 41156343 43188755 45729270 51826506 54875124 60972360 68593905 69102008 77739759 82312686 86377510 91458540 103653012 109750248 129566265 137187810 155479518 164625372 172755020 182917080 205781715 207306024 233219277 259132530 274375620 310959036 329250744 345510040 388698795 411563430 466438554 518265060 548751240 621918072 699657831 777397590 823126860 932877108 1036530120 1166096385 1399315662 1554795180 1646253720 1865754216 2332192770 2798631324 3109590360 3498289155 4664385540 5597262648 6996578310 9328771080 13993156620 27986313240