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52814492136 = 23327296075953
BaseRepresentation
bin110001001011111111…
…010011000111101000
312001022201210012000100
4301023333103013220
51331131002222021
640132421505400
73546535530120
oct611377230750
9161281705010
1052814492136
112044244970a
12a29b572260
134c98ba23a3
1427b0447c80
1515919e3626
hexc4bfd31e8

52814492136 has 192 divisors, whose sum is σ = 169417497600. Its totient is φ = 14543069184.

The previous prime is 52814492111. The next prime is 52814492179. The reversal of 52814492136 is 63129441825.

52814492136 is a `hidden beast` number, since 5 + 28 + 1 + 4 + 492 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 52814492091 and 52814492100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8868936 + ... + 8874888.

It is an arithmetic number, because the mean of its divisors is an integer number (882382800).

Almost surely, 252814492136 is an apocalyptic number.

52814492136 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 52814492136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84708748800).

52814492136 is an abundant number, since it is smaller than the sum of its proper divisors (116603005464).

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

52814492136 is a wasteful number, since it uses less digits than its factorization.

52814492136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6608 (or 6601 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 52814492136 in words is "fifty-two billion, eight hundred fourteen million, four hundred ninety-two thousand, one hundred thirty-six".