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5712741000450 = 23252116411800451
BaseRepresentation
bin101001100100001100111…
…1001011110010100000010
3202020010120202001102000200
41103020121321132110002
51222044143144003300
620052221425430030
71126506022206441
oct123103171362402
922203522042020
105712741000450
11190283a4003a0
1278320149b316
1332592b05c113
1415a6d8c76d58
159d90511a200
hex53219e5e502

5712741000450 has 144 divisors (see below), whose sum is σ = 16769654789472. Its totient is φ = 1382745600000.

The previous prime is 5712741000443. The next prime is 5712741000451. The reversal of 5712741000450 is 540001472175.

5712741000450 is a `hidden beast` number, since 571 + 2 + 7 + 41 + 0 + 0 + 0 + 45 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (5712741000451) by changing a digit.

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, 2272725 + ... + 4073175.

It is an arithmetic number, because the mean of its divisors is an integer number (116455936038).

Almost surely, 25712741000450 is an apocalyptic number.

5712741000450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5712741000450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384827394736).

5712741000450 is an abundant number, since it is smaller than the sum of its proper divisors (11056913789022).

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

5712741000450 is a wasteful number, since it uses less digits than its factorization.

5712741000450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801121 (or 1801113 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 5712741000450 in words is "five trillion, seven hundred twelve billion, seven hundred forty-one million, four hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 641 825 990 1282 1650 1923 2475 3205 3846 4950 5769 6410 7051 9615 11538 14102 16025 19230 21153 28845 32050 35255 42306 48075 57690 63459 70510 96150 105765 126918 144225 176275 211530 288450 317295 352550 528825 634590 1057650 1586475 1800451 3172950 3600902 5401353 9002255 10802706 16204059 18004510 19804961 27006765 32408118 39609922 45011275 54013530 59414883 81020295 90022550 99024805 118829766 135033825 162040590 178244649 198049610 270067650 297074415 356489298 405101475 495124025 594148830 810202950 891223245 990248050 1154089091 1485372075 1782446490 2308178182 2970744150 3462267273 4456116225 5770445455 6924534546 8912232450 10386801819 11540890910 12694980001 17311336365 20773603638 25389960002 28852227275 34622672730 38084940003 51934009095 57704454550 63474900005 76169880006 86556681825 103868018190 114254820009 126949800010 173113363650 190424700015 228509640018 259670045475 317374500025 380849400030 519340090950 571274100045 634749000050 952123500075 1142548200090 1904247000150 2856370500225 5712741000450