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423425155450050 = 2325213244129651933
BaseRepresentation
bin110000001000110100101100…
…1111110101100010011000010
32001112020001100002222112102200
41200101221121332230103002
5420444344204243400200
64100314455301254030
7155121313035633015
oct14021513176542302
92045201302875380
10423425155450050
11112a09666642746
123b5a676ba04316
1315235a894929b0
14767bc5b81137c
1533e43d777d800
hex1811a59fac4c2

423425155450050 has 144 divisors (see below), whose sum is σ = 1225612046386728. Its totient is φ = 104185028275200.

The previous prime is 423425155450009. The next prime is 423425155450069. The reversal of 423425155450050 is 50054551524324.

423425155450050 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 2 + 51 + 5 + 545 + 0 + 0 + 50 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10960860296961 + 412464295153089 = 3310719^2 + 20309217^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 423425155449978 and 423425155450005.

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, 546117 + ... + 29105816.

Almost surely, 2423425155450050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423425155450050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612806023193364).

423425155450050 is an abundant number, since it is smaller than the sum of its proper divisors (802186890936678).

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

423425155450050 is a wasteful number, since it uses less digits than its factorization.

423425155450050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29654405 (or 29654397 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

The spelling of 423425155450050 in words is "four hundred twenty-three trillion, four hundred twenty-five billion, one hundred fifty-five million, four hundred fifty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2441 2925 4882 5850 7323 12205 14646 21969 24410 31733 36615 43938 61025 63466 73230 95199 109845 122050 158665 183075 190398 219690 285597 317330 366150 475995 549225 571194 793325 951990 1098450 1427985 1586650 2379975 2855970 4759950 7139925 14279850 29651933 59303866 88955799 148259665 177911598 266867397 296519330 385475129 444778995 533734794 741298325 770950258 889557990 1156425387 1334336985 1482596650 1927375645 2223894975 2312850774 2668673970 3469276161 3854751290 4447789950 5782126935 6671684925 6938552322 9636878225 11564253870 13343369850 17346380805 19273756450 28910634675 34692761610 57821269350 72380368453 86731904025 144760736906 173463808050 217141105359 361901842265 434282210718 651423316077 723803684530 940944789889 1085705526795 1302846632154 1809509211325 1881889579778 2171411053590 2822834369667 3257116580385 3619018422650 4704723949445 5428527633975 5645668739334 6514233160770 8468503109001 9409447898890 10857055267950 14114171848335 16285582901925 16937006218002 23523619747225 28228343696670 32571165803850 42342515545005 47047239494450 70570859241675 84685031090010 141141718483350 211712577725025 423425155450050