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53427236447520 = 253251317181927533
BaseRepresentation
bin11000010010111011111110…
…11100110010010100100000
321000011121000222011210122100
430021131333130302110200
524000322440012310040
6305344044504410400
714152663503520605
oct1411357734622440
9230147028153570
1053427236447520
1116029400147321
125baa681476a00
1323a722254a940
14d29c6ba946ac
15629b71e8ab30
hex30977f732520

53427236447520 has 576 divisors, whose sum is σ = 209043620813664. Its totient is φ = 12309314273280.

The previous prime is 53427236447489. The next prime is 53427236447531. The reversal of 53427236447520 is 2574463272435.

It is a happy number.

53427236447520 is a `hidden beast` number, since 5 + 3 + 4 + 2 + 72 + 3 + 6 + 4 + 47 + 520 = 666.

53427236447520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 524830700304 + 52902405747216 = 724452^2 + 7273404^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57137674 + ... + 58065206.

Almost surely, 253427236447520 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 53427236447520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104521810406832).

53427236447520 is an abundant number, since it is smaller than the sum of its proper divisors (155616384366144).

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

53427236447520 is a wasteful number, since it uses less digits than its factorization.

53427236447520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927765 (or 927754 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 54.

The spelling of 53427236447520 in words is "fifty-three trillion, four hundred twenty-seven billion, two hundred thirty-six million, four hundred forty-seven thousand, five hundred twenty".