Search a number
-
+
55205665000 = 235437298409
BaseRepresentation
bin110011011010100000…
…111001100011101000
312021111101012100112021
4303122200321203220
51401030122240000
641210000554224
73663022260433
oct633240714350
9167441170467
1055205665000
112145a182232
12a848322974
13528a3ba285
142959c4a81a
1516818c411a
hexcda8398e8

55205665000 has 80 divisors (see below), whose sum is σ = 132843179700. Its totient is φ = 21485376000.

The previous prime is 55205664989. The next prime is 55205665001. The reversal of 55205665000 is 56650255.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1991479876 + 53214185124 = 44626^2 + 230682^2 .

It is not an unprimeable number, because it can be changed into a prime (55205665001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 35796 + ... + 334204.

Almost surely, 255205665000 is an apocalyptic number.

55205665000 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 55205665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66421589850).

55205665000 is an abundant number, since it is smaller than the sum of its proper divisors (77637514700).

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

55205665000 is a wasteful number, since it uses less digits than its factorization.

55205665000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298472 (or 298453 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 34.

The spelling of 55205665000 in words is "fifty-five billion, two hundred five million, six hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 625 740 925 1000 1250 1480 1850 2500 3700 4625 5000 7400 9250 18500 23125 37000 46250 92500 185000 298409 596818 1193636 1492045 2387272 2984090 5968180 7460225 11041133 11936360 14920450 22082266 29840900 37301125 44164532 55205665 59681800 74602250 88329064 110411330 149204500 186505625 220822660 276028325 298409000 373011250 441645320 552056650 746022500 1104113300 1380141625 1492045000 2208226600 2760283250 5520566500 6900708125 11041133000 13801416250 27602832500 55205665000