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125348086016 = 28618026901
BaseRepresentation
bin111010010111101010…
…1000000000100000000
3102222112201112112022022
41310233111000010000
54023203102223031
6133330100301012
712025146102626
oct1645725000400
9388481475268
10125348086016
11491837aa31a
12203629a1768
13ba881abbca
1460d1737516
1533d976897b
hex1d2f540100

125348086016 has 36 divisors (see below), whose sum is σ = 254308309164. Its totient is φ = 61646592000.

The previous prime is 125348086001. The next prime is 125348086051. The reversal of 125348086016 is 610680843521.

It can be written as a sum of positive squares in 2 ways, for example, as 35645440000 + 89702646016 = 188800^2 + 299504^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3997835 + ... + 4029066.

It is an arithmetic number, because the mean of its divisors is an integer number (7064119699).

Almost surely, 2125348086016 is an apocalyptic number.

125348086016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125348086016 is an abundant number, since it is smaller than the sum of its proper divisors (128960223148).

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

125348086016 is an frugal number, since it uses more digits than its factorization.

125348086016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8026978 (or 8026964 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 125348086016 in words is "one hundred twenty-five billion, three hundred forty-eight million, eighty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1952 3904 7808 15616 8026901 16053802 32107604 64215208 128430416 256860832 489640961 513721664 979281922 1027443328 1958563844 2054886656 3917127688 7834255376 15668510752 31337021504 62674043008 125348086016