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561035120435244 = 2232713467366715507
BaseRepresentation
bin111111110010000100010101…
…1000011110110000000101100
32201120110102201011200112220200
41333210020223003312000230
51042013444411312411434
65305115550511313500
7226113310202552010
oct17744105303660054
92646412634615820
10561035120435244
1115284372736a664
1252b1044681b890
131b10850067b730
149c7835d6d6540
1544cdc27137199
hex1fe422b0f602c

561035120435244 has 144 divisors (see below), whose sum is σ = 1749180166126848. Its totient is φ = 147648463887744.

The previous prime is 561035120435219. The next prime is 561035120435249. The reversal of 561035120435244 is 442534021530165.

561035120435244 is a `hidden beast` number, since 5 + 6 + 1 + 0 + 3 + 51 + 204 + 352 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 561035120435244.

It is not an unprimeable number, because it can be changed into a prime (561035120435249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181827862 + ... + 184887645.

It is an arithmetic number, because the mean of its divisors is an integer number (12147084486992).

Almost surely, 2561035120435244 is an apocalyptic number.

It is an amenable number.

561035120435244 is an abundant number, since it is smaller than the sum of its proper divisors (1188145045691604).

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

561035120435244 is a wasteful number, since it uses less digits than its factorization.

561035120435244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366716004 (or 366715999 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 561035120435244 in words is "five hundred sixty-one trillion, thirty-five billion, one hundred twenty million, four hundred thirty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 467 468 546 819 934 1092 1401 1638 1868 2802 3269 3276 4203 5604 6071 6538 8406 9807 12142 13076 16812 18213 19614 24284 29421 36426 39228 42497 54639 58842 72852 84994 109278 117684 127491 169988 218556 254982 382473 509964 764946 1529892 366715507 733431014 1100146521 1466862028 2200293042 2567008549 3300439563 4400586084 4767301591 5134017098 6600879126 7701025647 9534603182 10268034196 13201758252 14301904773 15402051294 19069206364 23103076941 28603809546 30804102588 33371111137 42905714319 46206153882 57207619092 66742222274 85811428638 92412307764 100113333411 133484444548 171256141769 171622857276 200226666822 300340000233 342512283538 400453333644 513768425307 600680000466 685024567076 1027536850614 1198792992383 1201360000932 1541305275921 2055073701228 2226329842997 2397585984766 3082610551842 3596378977149 4452659685994 4795171969532 6165221103684 6678989528991 7192757954298 8905319371988 10789136931447 13357979057982 14385515908596 15584308900979 20036968586973 21578273862894 26715958115964 31168617801958 40073937173946 43156547725788 46752926702937 62337235603916 80147874347892 93505853405874 140258780108811 187011706811748 280517560217622 561035120435244