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949248000257 is a prime number
BaseRepresentation
bin11011101000000111001…
…01110000000100000001
310100202011201120201010212
431310003211300010001
5111023024442002012
62004024543003505
7125403151605134
oct15640345600401
93322151521125
10949248000257
11336634827357
12133b79299595
136b68a7b106b
1433d2dcc421b
1519a5ad7bb22
hexdd03970101

949248000257 has 2 divisors, whose sum is σ = 949248000258. Its totient is φ = 949248000256.

The previous prime is 949248000221. The next prime is 949248000329. The reversal of 949248000257 is 752000842949.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 536198849536 + 413049150721 = 732256^2 + 642689^2 .

It is an emirp because it is prime and its reverse (752000842949) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-949248000257 is a prime.

It is not a weakly prime, because it can be changed into another prime (949248000157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 474624000128 + 474624000129.

It is an arithmetic number, because the mean of its divisors is an integer number (474624000129).

Almost surely, 2949248000257 is an apocalyptic number.

It is an amenable number.

949248000257 is a deficient number, since it is larger than the sum of its proper divisors (1).

949248000257 is an equidigital number, since it uses as much as digits as its factorization.

949248000257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 949248000257 in words is "nine hundred forty-nine billion, two hundred forty-eight million, two hundred fifty-seven", and thus it is an aban number.