Search a number
-
+
50105105100010 = 25172371201390157
BaseRepresentation
bin10110110010010000000001…
…11111011010110011101010
320120102000000220221120001201
423121020000333122303222
523031410223401200020
6254321544552234414
713360655133140122
oct1331100077326352
9216360026846051
1050105105100010
1114a68501656404
12575285639ba0a
1321c5b77a9c24c
14c53158687c82
155bd537161a0a
hex2d9200fdacea

50105105100010 has 96 divisors (see below), whose sum is σ = 98478054721008. Its totient is φ = 18337956249600.

The previous prime is 50105105100007. The next prime is 50105105100077. The reversal of 50105105100010 is 1000150150105.

It is a happy number.

50105105100010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 3951193793121 + 46153911306889 = 1987761^2 + 6793667^2 .

It is a super-2 number, since 2×501051051000102 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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, 128227852 + ... + 128618008.

Almost surely, 250105105100010 is an apocalyptic number.

50105105100010 is a deficient number, since it is larger than the sum of its proper divisors (48372949620998).

50105105100010 is a wasteful number, since it uses less digits than its factorization.

50105105100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391436 (or 391419 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 19.

Adding to 50105105100010 its reverse (1000150150105), we get a palindrome (51105255250115).

The spelling of 50105105100010 in words is "fifty trillion, one hundred five billion, one hundred five million, one hundred thousand, ten".

Divisors: 1 2 5 10 17 34 37 74 85 170 185 289 370 578 629 1201 1258 1445 2402 2890 3145 6005 6290 10693 12010 20417 21386 40834 44437 53465 88874 102085 106930 204170 222185 347089 390157 444370 694178 755429 780314 1510858 1735445 1950785 3470890 3777145 3901570 6632669 7554290 12842293 13265338 14435809 25684586 28871618 33163345 64211465 66326690 72179045 112755373 128422930 144358090 225510746 245408753 468578557 490817506 563776865 937157114 1127553730 1227043765 2342892785 2454087530 4171948801 4685785570 7965835469 8343897602 15931670938 17337406609 20859744005 34674813218 39829177345 41719488010 79658354690 86687033045 135419202973 173374066090 270838405946 294735912353 589471824706 677096014865 1354192029730 1473679561765 2947359123530 5010510510001 10021021020002 25052552550005 50105105100010