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538247380862880 = 2532513129135296311
BaseRepresentation
bin111101001100010000111101…
…1111100000000011110100000
32121120202221120102101201012200
41322120201323330000132200
51031022121114000103010
65144431233323253200
7221242042602246003
oct17230417374003640
92546687512351180
10538247380862880
11146558483464877
125044bb4697a200
131a144682c725a0
1496cb452ab353a
1542360b2545cc0
hex1e9887bf007a0

538247380862880 has 576 divisors, whose sum is σ = 1980466027787520. Its totient is φ = 132330549657600.

The previous prime is 538247380862879. The next prime is 538247380862897. The reversal of 538247380862880 is 88268083742835.

538247380862880 is a `hidden beast` number, since 5 + 38 + 2 + 47 + 380 + 86 + 28 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 538247380862799 and 538247380862808.

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, 85287174925 + ... + 85287181235.

It is an arithmetic number, because the mean of its divisors is an integer number (3438309076020).

Almost surely, 2538247380862880 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 538247380862880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990233013893760).

538247380862880 is an abundant number, since it is smaller than the sum of its proper divisors (1442218646924640).

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

538247380862880 is a wasteful number, since it uses less digits than its factorization.

538247380862880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11165 (or 11154 counting only the distinct ones).

The product of its (nonzero) digits is 990904320, while the sum is 72.

The spelling of 538247380862880 in words is "five hundred thirty-eight trillion, two hundred forty-seven billion, three hundred eighty million, eight hundred sixty-two thousand, eight hundred eighty".