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5144653656450 = 23252711148474853
BaseRepresentation
bin100101011011101010101…
…0000001111000110000010
3200012211020202111020200200
41022313111100033012002
51133242222314001300
614535230554230030
71040455212361020
oct112672520170602
920184222436620
105144653656450
111703920960670
126b109a125316
132b41a5b0c019
1413b00707b710
158dc56c84200
hex4add540f182

5144653656450 has 144 divisors (see below), whose sum is σ = 17232585454656. Its totient is φ = 1069018934400.

The previous prime is 5144653656449. The next prime is 5144653656517. The reversal of 5144653656450 is 546563564415.

5144653656450 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 6 + 536 + 56 + 4 + 50 = 666.

It is a super-3 number, since 3×51446536564503 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74202777 + ... + 74272076.

It is an arithmetic number, because the mean of its divisors is an integer number (119670732324).

Almost surely, 25144653656450 is an apocalyptic number.

5144653656450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5144653656450 is an abundant number, since it is smaller than the sum of its proper divisors (12087931798206).

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

5144653656450 is a wasteful number, since it uses less digits than its factorization.

5144653656450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148474889 (or 148474881 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 5144653656450 in words is "five trillion, one hundred forty-four billion, six hundred fifty-three million, six hundred fifty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 25 30 33 35 42 45 50 55 63 66 70 75 77 90 99 105 110 126 150 154 165 175 198 210 225 231 275 315 330 350 385 450 462 495 525 550 630 693 770 825 990 1050 1155 1386 1575 1650 1925 2310 2475 3150 3465 3850 4950 5775 6930 11550 17325 34650 148474853 296949706 445424559 742374265 890849118 1039323971 1336273677 1484748530 1633223383 2078647942 2227122795 2672547354 3117971913 3266446766 3711871325 4454245590 4899670149 5196619855 6235943826 6681368385 7423742650 8166116915 9353915739 9799340298 10393239710 11135613975 11432563681 13362736770 14699010447 15589859565 16332233830 18707831478 22271227950 22865127362 24498350745 25983099275 29398020894 31179719130 33406841925 34297691043 40830584575 46769578695 48996701490 51966198550 57162818405 66813683850 68595382086 73495052235 77949297825 81661169150 93539157390 102893073129 114325636810 122491753725 146990104470 155898595650 171488455215 205786146258 233847893475 244983507450 285814092025 342976910430 367475261175 467695786950 514465365645 571628184050 734950522350 857442276075 1028930731290 1714884552150 2572326828225 5144653656450