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127083437345 = 560209422141
BaseRepresentation
bin111011001011011000…
…0110101110100100001
3110011000122220111210202
41312112300311310201
54040231324443340
6134214211034545
712116150252144
oct1662660656441
9404018814722
10127083437345
1149994318477
1220767b9ba55
13bca3885107
146217dc205b
15348bca1c15
hex1d96c35d21

127083437345 has 8 divisors (see below), whose sum is σ = 152503018920. Its totient is φ = 101664820480.

The previous prime is 127083437317. The next prime is 127083437359. The reversal of 127083437345 is 543734380721.

It can be written as a sum of positive squares in 4 ways, for example, as 3510799504 + 123572637841 = 59252^2 + 351529^2 .

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

It is not a de Polignac number, because 127083437345 - 26 = 127083437281 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 127083437345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89975 + ... + 512115.

It is an arithmetic number, because the mean of its divisors is an integer number (19062877365).

Almost surely, 2127083437345 is an apocalyptic number.

It is an amenable number.

127083437345 is a deficient number, since it is larger than the sum of its proper divisors (25419581575).

127083437345 is an equidigital number, since it uses as much as digits as its factorization.

127083437345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482355.

The product of its (nonzero) digits is 1693440, while the sum is 47.

The spelling of 127083437345 in words is "one hundred twenty-seven billion, eighty-three million, four hundred thirty-seven thousand, three hundred forty-five".

Divisors: 1 5 60209 301045 422141 2110705 25416687469 127083437345