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55445299200 = 213335237271
BaseRepresentation
bin110011101000110011…
…000010000000000000
312022010002010000212000
4303220303002000000
51402022444033300
641245441104000
74001662160424
oct635063020000
9168102100760
1055445299200
1121572475a25
12a8b4628000
1352c7c40765
14297d9c8b84
15169795bc00
hexce8cc2000

55445299200 has 672 divisors, whose sum is σ = 209975013120. Its totient is φ = 14332723200.

The previous prime is 55445299187. The next prime is 55445299219. The reversal of 55445299200 is 299254455.

55445299200 is a `hidden beast` number, since 554 + 4 + 5 + 2 + 9 + 92 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204595065 + ... + 204595335.

Almost surely, 255445299200 is an apocalyptic number.

55445299200 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 55445299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104987506560).

55445299200 is an abundant number, since it is smaller than the sum of its proper divisors (154529713920).

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

55445299200 is a wasteful number, since it uses less digits than its factorization.

55445299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 55445299200 in words is "fifty-five billion, four hundred forty-five million, two hundred ninety-nine thousand, two hundred".