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6081816960 = 27345117319
BaseRepresentation
bin1011010101000000…
…10010100110000000
3120200212000022110000
411222200102212000
544423421120320
62443254240000
7303466406532
oct55240224600
916625008400
106081816960
11264103310a
121218956000
1375c01417b
14419a29852
15258de9c90
hex16a812980

6081816960 has 160 divisors (see below), whose sum is σ = 21719451600. Its totient is φ = 1621804032.

The previous prime is 6081816943. The next prime is 6081816971. The reversal of 6081816960 is 696181806.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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 19 ways as a sum of consecutive naturals, for example, 6820 + ... + 110499.

Almost surely, 26081816960 is an apocalyptic number.

6081816960 is a gapful number since it is divisible by the number (60) 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 6081816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10859725800).

6081816960 is an abundant number, since it is smaller than the sum of its proper divisors (15637634640).

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

6081816960 is a wasteful number, since it uses less digits than its factorization.

6081816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117350 (or 117329 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 6081816960 is about 77986.0048983149. The cubic root of 6081816960 is about 1825.3428477041.

The spelling of 6081816960 in words is "six billion, eighty-one million, eight hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 117319 234638 351957 469276 586595 703914 938552 1055871 1173190 1407828 1759785 1877104 2111742 2346380 2815656 3167613 3519570 3754208 4223484 4692760 5279355 5631312 6335226 7039140 7508416 8446968 9385520 9502839 10558710 11262624 12670452 14078280 15016832 15838065 16893936 18771040 19005678 21117420 22525248 25340904 28156560 31676130 33787872 37542080 38011356 42234840 45050496 47514195 50681808 56313120 63352260 67575744 75084160 76022712 84469680 95028390 101363616 112626240 126704520 135151488 152045424 168939360 190056780 202727232 225252480 253409040 304090848 337878720 380113560 405454464 506818080 608181696 675757440 760227120 1013636160 1216363392 1520454240 2027272320 3040908480 6081816960