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55255012000 = 2553137310061
BaseRepresentation
bin110011011101011101…
…001001001010100000
312021121211001102212221
4303131131021022200
51401130240341000
641214522400424
73664161565306
oct633535111240
9167554042787
1055255012000
1121485017381
12a860960114
1352976a7396
142962614276
151685dc061a
hexcdd7492a0

55255012000 has 96 divisors (see below), whose sum is σ = 135873947664. Its totient is φ = 22083712000.

The previous prime is 55255011919. The next prime is 55255012031. The reversal of 55255012000 is 21055255.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15333373584 + 39921638416 = 123828^2 + 199804^2 .

It is a super-2 number, since 2×552550120002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 5486970 + ... + 5497030.

Almost surely, 255255012000 is an apocalyptic number.

55255012000 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 55255012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67936973832).

55255012000 is an abundant number, since it is smaller than the sum of its proper divisors (80618935664).

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

55255012000 is a wasteful number, since it uses less digits than its factorization.

55255012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11459 (or 11441 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 25.

Adding to 55255012000 its reverse (21055255), we get a palindrome (55276067255).

The spelling of 55255012000 in words is "fifty-five billion, two hundred fifty-five million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1373 2000 2746 4000 5492 6865 10061 10984 13730 20122 21968 27460 34325 40244 43936 50305 54920 68650 80488 100610 109840 137300 160976 171625 201220 219680 251525 274600 321952 343250 402440 503050 549200 686500 804880 1006100 1098400 1257625 1373000 1609760 2012200 2515250 2746000 4024400 5030500 5492000 8048800 10061000 13813753 20122000 27627506 40244000 55255012 69068765 110510024 138137530 221020048 276275060 345343825 442040096 552550120 690687650 1105100240 1381375300 1726719125 2210200480 2762750600 3453438250 5525501200 6906876500 11051002400 13813753000 27627506000 55255012000