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58655680272 = 243273710315269
BaseRepresentation
bin110110101000001001…
…101010011100010000
312121101211000021202200
4312220021222130100
51430111323232042
642540202443200
74144354025130
oct665011523420
9177354007680
1058655680272
112296a669822
12b44b803500
1356ba0a5427
142ba6116ac0
1517d470ac4c
hexda826a710

58655680272 has 240 divisors, whose sum is σ = 194558856960. Its totient is φ = 16146459648.

The previous prime is 58655680253. The next prime is 58655680301. The reversal of 58655680272 is 27208655685.

58655680272 is a `hidden beast` number, since 5 + 8 + 6 + 5 + 568 + 0 + 2 + 72 = 666.

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, 3833854 + ... + 3849122.

It is an arithmetic number, because the mean of its divisors is an integer number (810661904).

Almost surely, 258655680272 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 58655680272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97279428480).

58655680272 is an abundant number, since it is smaller than the sum of its proper divisors (135903176688).

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

58655680272 is a wasteful number, since it uses less digits than its factorization.

58655680272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15430 (or 15421 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 58655680272 in words is "fifty-eight billion, six hundred fifty-five million, six hundred eighty thousand, two hundred seventy-two".