Search a number
-
+
10808270057070 = 2335232297757711
BaseRepresentation
bin1001110101000111111100…
…0110001110111001101110
31102021021000220221102101000
42131101333012032321232
52404040314113311240
634553130053301130
72163605002436013
oct235217706167156
942237026842330
1010808270057070
113497841749022
12126686b9347a6
136052a5590a95
142951a197970a
1513b2342c7430
hex9d47f18ee6e

10808270057070 has 128 divisors (see below), whose sum is σ = 30088319201280. Its totient is φ = 2755688221440.

The previous prime is 10808270057023. The next prime is 10808270057071. The reversal of 10808270057070 is 7075007280801.

10808270057070 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 8 + 2 + 7 + 0 + 0 + 570 + 70 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10808270057071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13885515 + ... + 14643225.

It is an arithmetic number, because the mean of its divisors is an integer number (235064993760).

Almost surely, 210808270057070 is an apocalyptic number.

10808270057070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10808270057070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15044159600640).

10808270057070 is an abundant number, since it is smaller than the sum of its proper divisors (19280049144210).

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

10808270057070 is a wasteful number, since it uses less digits than its factorization.

10808270057070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760047 (or 760041 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 10808270057070 in words is "ten trillion, eight hundred eight billion, two hundred seventy million, fifty-seven thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 2297 3105 4594 6210 6891 11485 13782 20673 22970 34455 41346 52831 62019 68910 103365 105662 124038 158493 206730 264155 310095 316986 475479 528310 620190 757711 792465 950958 1426437 1515422 1584930 2273133 2377395 2852874 3788555 4546266 4754790 6819399 7132185 7577110 11365665 13638798 14264370 17427353 20458197 22731330 34096995 34854706 40916394 52282059 68193990 87136765 102290985 104564118 156846177 174273530 204581970 261410295 313692354 470538531 522820590 784230885 941077062 1568461770 1740462167 2352692655 3480924334 4705385310 5221386501 8702310835 10442773002 15664159503 17404621670 26106932505 31328319006 40030629841 46992478509 52213865010 78320797515 80061259682 93984957018 120091889523 156641595030 200153149205 234962392545 240183779046 360275668569 400306298410 469924785090 600459447615 720551337138 1080827005707 1200918895230 1801378342845 2161654011414 3602756685690 5404135028535 10808270057070