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58830125953 = 457569226241
BaseRepresentation
bin110110110010100011…
…000111101110000001
312121211222021001020211
4312302203013232001
51430441003012303
643005353434121
74151602551124
oct666243075601
9177758231224
1058830125953
1122a4a088405
12b49a10b941
135717283121
142bc13663bb
1517e4bb866d
hexdb28c7b81

58830125953 has 8 divisors (see below), whose sum is σ = 59062736520. Its totient is φ = 58597969920.

The previous prime is 58830125951. The next prime is 58830125987. The reversal of 58830125953 is 35952103885.

58830125953 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 4 ways, for example, as 16019205489 + 42810920464 = 126567^2 + 206908^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 58830125953 - 21 = 58830125951 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 58830125897 and 58830125906.

It is not an unprimeable number, because it can be changed into a prime (58830125951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146913 + ... + 373153.

It is an arithmetic number, because the mean of its divisors is an integer number (7382842065).

Almost surely, 258830125953 is an apocalyptic number.

It is an amenable number.

58830125953 is a deficient number, since it is larger than the sum of its proper divisors (232610567).

58830125953 is a wasteful number, since it uses less digits than its factorization.

58830125953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227267.

The product of its (nonzero) digits is 1296000, while the sum is 49.

The spelling of 58830125953 in words is "fifty-eight billion, eight hundred thirty million, one hundred twenty-five thousand, nine hundred fifty-three".

Divisors: 1 457 569 226241 260033 103392137 128731129 58830125953