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642145302050 = 252729346318269
BaseRepresentation
bin10010101100000101101…
…01111011011000100010
32021101111012200020011012
421112002311323120202
541010103144131200
61210555242220522
764251650002520
oct11260265733042
92241435606135
10642145302050
1122837231183a
12a45511b4742
13487282cc865
1423119731310
1511a84d69a35
hex9582d7b622

642145302050 has 96 divisors (see below), whose sum is σ = 1412572089600. Its totient is φ = 212499221760.

The previous prime is 642145302023. The next prime is 642145302089. The reversal of 642145302050 is 50203541246.

It is a junction number, because it is equal to n+sod(n) for n = 642145301998 and 642145302016.

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 47 ways as a sum of consecutive naturals, for example, 35140316 + ... + 35158584.

It is an arithmetic number, because the mean of its divisors is an integer number (14714292600).

Almost surely, 2642145302050 is an apocalyptic number.

642145302050 is an abundant number, since it is smaller than the sum of its proper divisors (770426787550).

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

642145302050 is a wasteful number, since it uses less digits than its factorization.

642145302050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21780 (or 21775 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 642145302050 its reverse (50203541246), we get a palindrome (692348843296).

The spelling of 642145302050 in words is "six hundred forty-two billion, one hundred forty-five million, three hundred two thousand, fifty".

Divisors: 1 2 5 7 10 14 25 29 35 50 58 70 145 175 203 290 350 406 725 1015 1450 2030 3463 5075 6926 10150 17315 18269 24241 34630 36538 48482 86575 91345 100427 121205 127883 173150 182690 200854 242410 255766 456725 502135 529801 606025 639415 702989 913450 1004270 1059602 1212050 1278830 1405978 2510675 2649005 3197075 3514945 3708607 5021350 5298010 6394150 7029890 7417214 13245025 17574725 18543035 26490050 35149450 37086070 63265547 92715175 126531094 185430350 316327735 442858829 632655470 885717658 1581638675 1834700863 2214294145 3163277350 3669401726 4428588290 9173504315 11071470725 12842906041 18347008630 22142941450 25685812082 45867521575 64214530205 91735043150 128429060410 321072651025 642145302050