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4973878800 = 243252112343127
BaseRepresentation
bin1001010000111011…
…10101111000010000
3110211122020020000100
410220131311320100
540141303110200
62141315252400
7234154162242
oct45035657020
913748206010
104973878800
112122696840
12b698aa100
13613614267
14352822092
151e19e6d00
hex128775e10

4973878800 has 720 divisors, whose sum is σ = 20263845888. Its totient is φ = 1117670400.

The previous prime is 4973878783. The next prime is 4973878837. The reversal of 4973878800 is 88783794.

4973878800 is a `hidden beast` number, since 497 + 3 + 8 + 78 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39164337 + ... + 39164463.

Almost surely, 24973878800 is an apocalyptic number.

4973878800 is a gapful number since it is divisible by the number (40) 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 4973878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10131922944).

4973878800 is an abundant number, since it is smaller than the sum of its proper divisors (15289967088).

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

4973878800 is a wasteful number, since it uses less digits than its factorization.

4973878800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 4973878800 is about 70525.7314744059. The cubic root of 4973878800 is about 1706.9929711236.

The spelling of 4973878800 in words is "four billion, nine hundred seventy-three million, eight hundred seventy-eight thousand, eight hundred".