Search a number
-
+
55613034000 = 2433532344777
BaseRepresentation
bin110011110010110010…
…111000111000010000
312022112202201211202000
4303302302320320100
51402343414042000
641314232154000
74006066663236
oct636262707020
9168482654660
1055613034000
1121649120627
12a940838900
13532390ba14
142997dac956
1516a7541000
hexcf2cb8e10

55613034000 has 320 divisors, whose sum is σ = 207884551680. Its totient is φ = 14185036800.

The previous prime is 55613033981. The next prime is 55613034013. The reversal of 55613034000 is 43031655.

55613034000 is a `hidden beast` number, since 5 + 5 + 613 + 0 + 3 + 40 + 0 + 0 = 666.

It is a super-3 number, since 3×556130340003 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 1219612 + ... + 1264388.

It is an arithmetic number, because the mean of its divisors is an integer number (649639224).

Almost surely, 255613034000 is an apocalyptic number.

55613034000 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 55613034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103942275840).

55613034000 is an abundant number, since it is smaller than the sum of its proper divisors (152271517680).

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

55613034000 is a wasteful number, since it uses less digits than its factorization.

55613034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44832 (or 44810 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 55613034000 its reverse (43031655), we get a palindrome (55656065655).

The spelling of 55613034000 in words is "fifty-five billion, six hundred thirteen million, thirty-four thousand".