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2057129824580 = 2251724172503261
BaseRepresentation
bin11101111011110110011…
…111100001000101000100
321021122210220200122012222
4131323312133201011010
5232201000213341310
64213010555231512
7301423411000265
oct35736637410504
97248726618188
102057129824580
1172347317a646
12292828748598
1311bca94939bc
14717cc09296c
153879d783055
hex1def67e1144

2057129824580 has 48 divisors (see below), whose sum is σ = 4575982962096. Its totient is φ = 774128148480.

The previous prime is 2057129824577. The next prime is 2057129824609. The reversal of 2057129824580 is 854289217502.

It can be written as a sum of positive squares in 8 ways, for example, as 420536686144 + 1636593138436 = 648488^2 + 1279294^2 .

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 15 ways as a sum of consecutive naturals, for example, 429851 + ... + 2073410.

It is an arithmetic number, because the mean of its divisors is an integer number (95332978377).

Almost surely, 22057129824580 is an apocalyptic number.

2057129824580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2057129824580 is an abundant number, since it is smaller than the sum of its proper divisors (2518853137516).

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

2057129824580 is a wasteful number, since it uses less digits than its factorization.

2057129824580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505704 (or 2505702 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 53.

The spelling of 2057129824580 in words is "two trillion, fifty-seven billion, one hundred twenty-nine million, eight hundred twenty-four thousand, five hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 2417 4834 9668 12085 24170 41089 48340 82178 164356 205445 410890 821780 2503261 5006522 10013044 12516305 25032610 42555437 50065220 85110874 170221748 212777185 425554370 851108740 6050381837 12100763674 24201527348 30251909185 60503818370 102856491229 121007636740 205712982458 411425964916 514282456145 1028564912290 2057129824580