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458055496481780 = 225109210117200221
BaseRepresentation
bin110100000100110010101101…
…1001001111011101111110100
32020001211200022010020011022002
41220021211123021323233310
5440014240124044404110
64302111442354354432
7165324263132605001
oct15011453311735764
92201750263204262
10458055496481780
11122a5027731109a
124345a282b8ba18
13168785a9286082
14811800bc008a8
1537e511bdc0aa5
hex1a0995b27bbf4

458055496481780 has 24 divisors (see below), whose sum is σ = 970741465025640. Its totient is φ = 181541260990080.

The previous prime is 458055496481771. The next prime is 458055496481819. The reversal of 458055496481780 is 87184694550854.

It can be written as a sum of positive squares in 4 ways, for example, as 8054539154704 + 450000957327076 = 2838052^2 + 21213226^2 .

It is a junction number, because it is equal to n+sod(n) for n = 458055496481698 and 458055496481707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105058597931 + ... + 105058602290.

It is an arithmetic number, because the mean of its divisors is an integer number (40447561042735).

Almost surely, 2458055496481780 is an apocalyptic number.

It is an amenable number.

458055496481780 is an abundant number, since it is smaller than the sum of its proper divisors (512685968543860).

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

458055496481780 is a wasteful number, since it uses less digits than its factorization.

458055496481780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210117200339 (or 210117200337 counting only the distinct ones).

The product of its (nonzero) digits is 1548288000, while the sum is 74.

The spelling of 458055496481780 in words is "four hundred fifty-eight trillion, fifty-five billion, four hundred ninety-six million, four hundred eighty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 210117200221 420234400442 840468800884 1050586001105 2101172002210 4202344004420 22902774824089 45805549648178 91611099296356 114513874120445 229027748240890 458055496481780