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52290778176 = 26337131731631
BaseRepresentation
bin110000101100110001…
…011111010001000000
311222222020022202112000
4300230301133101000
51324042414400201
640004432504000
73530546165220
oct605461372100
9158866282460
1052290778176
11201a386565a
12a1740ab000
134c14536580
142760a7c080
151560a43d86
hexc2cc5f440

52290778176 has 896 divisors, whose sum is σ = 207119646720. Its totient is φ = 12541132800.

The previous prime is 52290778147. The next prime is 52290778223. The reversal of 52290778176 is 67187709225.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82869381 + ... + 82870011.

It is an arithmetic number, because the mean of its divisors is an integer number (231160320).

Almost surely, 252290778176 is an apocalyptic number.

52290778176 is a gapful number since it is divisible by the number (56) 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 52290778176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103559823360).

52290778176 is an abundant number, since it is smaller than the sum of its proper divisors (154828868544).

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

52290778176 is a wasteful number, since it uses less digits than its factorization.

52290778176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 52290778176 in words is "fifty-two billion, two hundred ninety million, seven hundred seventy-eight thousand, one hundred seventy-six".