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14664073050 = 232521125711527
BaseRepresentation
bin11011010100000101…
…11111111101011010
31101211222001002112200
431222002333331122
5220013000314200
610423033551030
71026250364364
oct155202777532
941758032480
1014664073050
11624553a140
122a12b75476
1314c907c603
149d177bd34
155ac5aa800
hex36a0bff5a

14664073050 has 144 divisors (see below), whose sum is σ = 43150041792. Its totient is φ = 3540787200.

The previous prime is 14664073031. The next prime is 14664073103. The reversal of 14664073050 is 5037046641.

It is a happy number.

14664073050 is a `hidden beast` number, since 1 + 4 + 6 + 640 + 7 + 3 + 0 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14664072996 and 14664073014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1266387 + ... + 1277913.

It is an arithmetic number, because the mean of its divisors is an integer number (299653068).

Almost surely, 214664073050 is an apocalyptic number.

14664073050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14664073050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21575020896).

14664073050 is an abundant number, since it is smaller than the sum of its proper divisors (28485968742).

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

14664073050 is a wasteful number, since it uses less digits than its factorization.

14664073050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11813 (or 11805 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 14664073050 in words is "fourteen billion, six hundred sixty-four million, seventy-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 257 275 330 450 495 514 550 771 825 990 1285 1542 1650 2313 2475 2570 2827 3855 4626 4950 5654 6425 7710 8481 11527 11565 12850 14135 16962 19275 23054 23130 25443 28270 34581 38550 42405 50886 57635 57825 69162 70675 84810 103743 115270 115650 126797 127215 141350 172905 207486 212025 253594 254430 288175 345810 380391 424050 518715 576350 633985 636075 760782 864525 1037430 1141173 1267970 1272150 1729050 1901955 2282346 2593575 2962439 3169925 3803910 5187150 5705865 5924878 6339850 8887317 9509775 11411730 14812195 17774634 19019550 26661951 28529325 29624390 32586829 44436585 53323902 57058650 65173658 74060975 88873170 97760487 133309755 148121950 162934145 195520974 222182925 266619510 293281461 325868290 444365850 488802435 586562922 666548775 814670725 977604870 1333097550 1466407305 1629341450 2444012175 2932814610 4888024350 7332036525 14664073050