Search a number
-
+
5505106110500 = 225343900128447
BaseRepresentation
bin101000000011100000111…
…1001001110100000100100
3201111021122022101010110102
41100013001321032200210
51210143424131014000
615413002201243232
71105505442601163
oct120070171164044
921437568333412
105505106110500
11183277a977397
1274ab14a93518
1330c18b0437a9
1415063cbad3da
159830176b3d5
hex501c1e4e824

5505106110500 has 96 divisors (see below), whose sum is σ = 12304559275008. Its totient is φ = 2150517600000.

The previous prime is 5505106110499. The next prime is 5505106110509. The reversal of 5505106110500 is 50116015055.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5505106110509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193507277 + ... + 193535723.

It is an arithmetic number, because the mean of its divisors is an integer number (128172492448).

Almost surely, 25505106110500 is an apocalyptic number.

5505106110500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505106110500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152279637504).

5505106110500 is an abundant number, since it is smaller than the sum of its proper divisors (6799453164508).

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

5505106110500 is a wasteful number, since it uses less digits than its factorization.

5505106110500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37510 (or 37498 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 5505106110500 in words is "five trillion, five hundred five billion, one hundred six million, one hundred ten thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 125 172 215 250 430 500 860 1075 2150 4300 5375 9001 10750 18002 21500 28447 36004 45005 56894 90010 113788 142235 180020 225025 284470 387043 450050 568940 711175 774086 900100 1125125 1223221 1422350 1548172 1935215 2250250 2446442 2844700 3555875 3870430 4500500 4892884 6116105 7111750 7740860 9676075 12232210 14223500 19352150 24464420 30580525 38704300 48380375 61161050 96760750 122322100 152902625 193521500 256051447 305805250 512102894 611610500 1024205788 1280257235 2560514470 5121028940 6401286175 11010212221 12802572350 22020424442 25605144700 32006430875 44040848884 55051061105 64012861750 110102122210 128025723500 220204244420 275255305525 550510611050 1101021222100 1376276527625 2752553055250 5505106110500