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52904673027360 = 253257211617315307
BaseRepresentation
bin11000000011101110101000…
…01111100010010100100000
320221022122012121220120202200
430001313110033202110200
523413242232243333420
6304304023221013200
714100144054655200
oct1401672417422440
9227278177816680
1052904673027360
111594782277a350
125b25343b54200
132369b7391c19b
14d0c857d4a400
1561b28a534b90
hex301dd43e2520

52904673027360 has 1728 divisors, whose sum is σ = 236065823570304. Its totient is φ = 10664143257600.

The previous prime is 52904673027341. The next prime is 52904673027389. The reversal of 52904673027360 is 6372037640925.

52904673027360 is a `hidden beast` number, since 5 + 2 + 90 + 467 + 30 + 2 + 7 + 3 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 52904673027297 and 52904673027306.

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 287 ways as a sum of consecutive naturals, for example, 3456232827 + ... + 3456248133.

It is an arithmetic number, because the mean of its divisors is an integer number (136612166418).

Almost surely, 252904673027360 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 52904673027360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118032911785152).

52904673027360 is an abundant number, since it is smaller than the sum of its proper divisors (183161150542944).

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

52904673027360 is a wasteful number, since it uses less digits than its factorization.

52904673027360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15487 (or 15469 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 52904673027360 in words is "fifty-two trillion, nine hundred four billion, six hundred seventy-three million, twenty-seven thousand, three hundred sixty".