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52878020832 = 253771319223
BaseRepresentation
bin110001001111110001…
…101001000011100000
312001111011022210000000
4301033301221003200
51331243233131312
640143011300000
73551236522020
oct611761510340
9161434283000
1052878020832
112047529a76a
12a2b88aa600
134ca90b6530
1427b8a63a80
151597391adc
hexc4fc690e0

52878020832 has 1152 divisors, whose sum is σ = 211625809920. Its totient is φ = 12637430784.

The previous prime is 52878020807. The next prime is 52878020837. The reversal of 52878020832 is 23802087825.

52878020832 is a `hidden beast` number, since 528 + 78 + 0 + 20 + 8 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52878020837) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2299044373 + ... + 2299044395.

It is an arithmetic number, because the mean of its divisors is an integer number (183702960).

Almost surely, 252878020832 is an apocalyptic number.

52878020832 is a gapful number since it is divisible by the number (52) 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 52878020832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105812904960).

52878020832 is an abundant number, since it is smaller than the sum of its proper divisors (158747789088).

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

52878020832 is a wasteful number, since it uses less digits than its factorization.

52878020832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 52878020832 in words is "fifty-two billion, eight hundred seventy-eight million, twenty thousand, eight hundred thirty-two".