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614271485891412 = 22354718717186583
BaseRepresentation
bin1000101110101011010011100…
…1101101100101001101010100
32222112221210002000102100200000
42023222310321231211031110
51121003211000342011122
610014240231440251300
7243246436025631306
oct21352647155451524
92875853060370600
10614271485891412
111687a908a841028
1258a89b19910b30
132049a724cb996b
14ab98c818a3976
154b039273100ac
hex22ead39b65354

614271485891412 has 144 divisors (see below), whose sum is σ = 1645390598971392. Its totient is φ = 200293489899360.

The previous prime is 614271485891311. The next prime is 614271485891449. The reversal of 614271485891412 is 214198584172416.

It is a happy number.

614271485891412 is a `hidden beast` number, since 6 + 1 + 4 + 2 + 7 + 1 + 4 + 8 + 589 + 1 + 41 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 614271485891412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81881473 + ... + 89068055.

It is an arithmetic number, because the mean of its divisors is an integer number (11426323603968).

Almost surely, 2614271485891412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 614271485891412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822695299485696).

614271485891412 is an abundant number, since it is smaller than the sum of its proper divisors (1031119113079980).

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

614271485891412 is a wasteful number, since it uses less digits than its factorization.

614271485891412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7188520 (or 7188506 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 614271485891412 in words is "six hundred fourteen trillion, two hundred seventy-one billion, four hundred eighty-five million, eight hundred ninety-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 243 282 324 423 486 564 846 972 1269 1692 1871 2538 3742 3807 5076 5613 7484 7614 11226 11421 15228 16839 22452 22842 33678 45684 50517 67356 87937 101034 151551 175874 202068 263811 303102 351748 454653 527622 606204 791433 909306 1055244 1582866 1818612 2374299 3165732 4748598 7122897 7186583 9497196 14245794 14373166 21368691 21559749 28491588 28746332 42737382 43119498 64679247 85474764 86238996 129358494 194037741 258716988 337769401 388075482 582113223 675538802 776150964 1013308203 1164226446 1351077604 1746339669 2026616406 2328452892 3039924609 3492679338 4053232812 6079849218 6985358676 9119773827 12159698436 13446096793 18239547654 26892193586 27359321481 36479095308 40338290379 53784387172 54718642962 80676580758 82077964443 109437285924 121014871137 161353161516 164155928886 242029742274 328311857772 363044613411 484059484548 631966549271 726089226822 1089133840233 1263933098542 1452178453644 1895899647813 2178267680466 2527866197084 3267401520699 3791799295626 4356535360932 5687698943439 6534803041398 7583598591252 11375397886878 13069606082796 17063096830317 22750795773756 34126193660634 51189290490951 68252387321268 102378580981902 153567871472853 204757161963804 307135742945706 614271485891412