Search a number
-
+
55085270310 = 23257218169011
BaseRepresentation
bin110011010011010101…
…101000010100100110
312021011222122200001200
4303103111220110212
51400303312122220
641150020303330
73660031033500
oct632325502446
9167158580050
1055085270310
11213a8220994
12a813b41b46
13526b485805
142947c6ad70
151676041890
hexcd3568526

55085270310 has 144 divisors (see below), whose sum is σ = 167527734192. Its totient is φ = 12521174400.

The previous prime is 55085270309. The next prime is 55085270329. The reversal of 55085270310 is 1307258055.

55085270310 is a `hidden beast` number, since 5 + 508 + 52 + 70 + 31 + 0 = 666.

It is a super-2 number, since 2×550852703102 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 763705 + ... + 832715.

It is an arithmetic number, because the mean of its divisors is an integer number (1163387043).

Almost surely, 255085270310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55085270310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83763867096).

55085270310 is an abundant number, since it is smaller than the sum of its proper divisors (112442463882).

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

55085270310 is a wasteful number, since it uses less digits than its factorization.

55085270310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69219 (or 69209 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 55085270310 in words is "fifty-five billion, eighty-five million, two hundred seventy thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 181 210 245 294 315 362 441 490 543 630 735 882 905 1086 1267 1470 1629 1810 2205 2534 2715 3258 3801 4410 5430 6335 7602 8145 8869 11403 12670 16290 17738 19005 22806 26607 38010 44345 53214 57015 69011 79821 88690 114030 133035 138022 159642 207033 266070 345055 399105 414066 483077 621099 690110 798210 966154 1035165 1242198 1449231 2070330 2415385 2898462 3105495 3381539 4347693 4830770 6210990 6763078 7246155 8695386 10144617 12490991 14492310 16907695 20289234 21738465 24981982 30433851 33815390 37472973 43476930 50723085 60867702 62454955 74945946 87436937 101446170 112418919 124909910 152169255 174873874 187364865 224837838 262310811 304338510 374729730 437184685 524621622 562094595 612058559 786932433 874369370 1124189190 1224117118 1311554055 1573864866 1836175677 2623108110 3060292795 3672351354 3934662165 5508527031 6120585590 7869324330 9180878385 11017054062 18361756770 27542635155 55085270310