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127048625731409 is a prime number
BaseRepresentation
bin11100111000110011010000…
…001101001011011101010001
3121122211201201011122002211212
4130320303100031023131101
5113123031041141401114
61130113155524345505
735521650245304224
oct3470632015133521
9548751634562755
10127048625731409
1137533024090238
12122baa5b845295
1355b7831b85625
1423532872a15bb
15ea4c5dc38b3e
hex738cd034b751

127048625731409 has 2 divisors, whose sum is σ = 127048625731410. Its totient is φ = 127048625731408.

The previous prime is 127048625731373. The next prime is 127048625731457. The reversal of 127048625731409 is 904137526840721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115200573321409 + 11848052410000 = 10733153^2 + 3442100^2 .

It is an emirp because it is prime and its reverse (904137526840721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 127048625731409 - 224 = 127048608954193 is a prime.

It is a super-2 number, since 2×1270486257314092 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (127048625731309) by changing a digit.

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 as a sum of consecutive naturals, namely, 63524312865704 + 63524312865705.

It is an arithmetic number, because the mean of its divisors is an integer number (63524312865705).

It is a 1-persistent number, because it is pandigital, but 2⋅127048625731409 = 254097251462818 is not.

Almost surely, 2127048625731409 is an apocalyptic number.

It is an amenable number.

127048625731409 is a deficient number, since it is larger than the sum of its proper divisors (1).

127048625731409 is an equidigital number, since it uses as much as digits as its factorization.

127048625731409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20321280, while the sum is 59.

The spelling of 127048625731409 in words is "one hundred twenty-seven trillion, forty-eight billion, six hundred twenty-five million, seven hundred thirty-one thousand, four hundred nine".