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55368502200 = 2332521114931873
BaseRepresentation
bin110011100100001110…
…000100101110111000
312021220201121100011200
4303210032010232320
51401343314032300
641234055054200
74000040334444
oct634416045670
9167821540150
1055368502200
1121533092230
12a892971360
1352b506224b
142973717824
151690d3c200
hexce4384bb8

55368502200 has 288 divisors, whose sum is σ = 203094300240. Its totient is φ = 13406515200.

The previous prime is 55368502171. The next prime is 55368502207. The reversal of 55368502200 is 220586355.

It is a happy number.

55368502200 is a `hidden beast` number, since 553 + 6 + 85 + 0 + 2 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55368502207) 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 71 ways as a sum of consecutive naturals, for example, 29560464 + ... + 29562336.

Almost surely, 255368502200 is an apocalyptic number.

55368502200 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 55368502200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101547150120).

55368502200 is an abundant number, since it is smaller than the sum of its proper divisors (147725798040).

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

55368502200 is a wasteful number, since it uses less digits than its factorization.

55368502200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 55368502200 in words is "fifty-five billion, three hundred sixty-eight million, five hundred two thousand, two hundred".