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5012845200 = 243252111031229
BaseRepresentation
bin1001010101100100…
…11111001010010000
3110221100112220212100
410222302133022100
540231242021300
62145230400400
7235136324016
oct45262371220
913840486770
105012845200
112142690880
12b7a960100
1361b7084bc
14357a868b6
151e5142700
hex12ac9f290

5012845200 has 360 divisors, whose sum is σ = 19177254720. Its totient is φ = 1202457600.

The previous prime is 5012845171. The next prime is 5012845237. The reversal of 5012845200 is 25482105.

It is a happy number.

5012845200 is a `hidden beast` number, since 50 + 12 + 84 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4078186 + ... + 4079414.

It is an arithmetic number, because the mean of its divisors is an integer number (53270152).

Almost surely, 25012845200 is an apocalyptic number.

5012845200 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 5012845200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9588627360).

5012845200 is an abundant number, since it is smaller than the sum of its proper divisors (14164409520).

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

5012845200 is a wasteful number, since it uses less digits than its factorization.

5012845200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5012845200 is about 70801.4491377119. The cubic root of 5012845200 is about 1711.4390266894.

The spelling of 5012845200 in words is "five billion, twelve million, eight hundred forty-five thousand, two hundred".