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52534957860 = 223357113153769
BaseRepresentation
bin110000111011010100…
…111101011100100100
312000121020210101002000
4300323110331130210
51330042422122420
640044554245300
73536602526310
oct607324753444
9160536711060
1052534957860
1120309683450
12a221a26830
134c52cbb9a8
142785280b40
1515771c8690
hexc3b53d724

52534957860 has 768 divisors, whose sum is σ = 214592716800. Its totient is φ = 10351411200.

The previous prime is 52534957841. The next prime is 52534957963. The reversal of 52534957860 is 6875943525.

52534957860 is a `hidden beast` number, since 5 + 2 + 5 + 3 + 4 + 9 + 578 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 52534957797 and 52534957806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 68315556 + ... + 68316324.

It is an arithmetic number, because the mean of its divisors is an integer number (279417600).

Almost surely, 252534957860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52534957860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107296358400).

52534957860 is an abundant number, since it is smaller than the sum of its proper divisors (162057758940).

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

52534957860 is a wasteful number, since it uses less digits than its factorization.

52534957860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 52534957860 in words is "fifty-two billion, five hundred thirty-four million, nine hundred fifty-seven thousand, eight hundred sixty".