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248770506531397 is a prime number
BaseRepresentation
bin111000100100000101100101…
…101011000010001001000101
31012121211020011022220202210211
4320210011211223002021011
5230101323444133001042
62241031332030515421
7103254035030012644
oct7044054553021105
91177736138822724
10248770506531397
11722a1a85559904
1223a99483365b71
13a8a6c5bc62c96
1445607b1a7135b
151db6159ae3017
hexe24165ac2245

248770506531397 has 2 divisors, whose sum is σ = 248770506531398. Its totient is φ = 248770506531396.

The previous prime is 248770506531383. The next prime is 248770506531457. The reversal of 248770506531397 is 793135605077842.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 244820910736516 + 3949595794881 = 15646754^2 + 1987359^2 .

It is a cyclic number.

It is not a de Polignac number, because 248770506531397 - 27 = 248770506531269 is a prime.

It is a super-2 number, since 2×2487705065313972 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (248770501531397) by changing a digit.

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 as a sum of consecutive naturals, namely, 124385253265698 + 124385253265699.

It is an arithmetic number, because the mean of its divisors is an integer number (124385253265699).

It is a 1-persistent number, because it is pandigital, but 2⋅248770506531397 = 497541013062794 is not.

Almost surely, 2248770506531397 is an apocalyptic number.

It is an amenable number.

248770506531397 is a deficient number, since it is larger than the sum of its proper divisors (1).

248770506531397 is an equidigital number, since it uses as much as digits as its factorization.

248770506531397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 266716800, while the sum is 67.

The spelling of 248770506531397 in words is "two hundred forty-eight trillion, seven hundred seventy billion, five hundred six million, five hundred thirty-one thousand, three hundred ninety-seven".