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10383126848657 is a prime number
BaseRepresentation
bin1001011100011000001010…
…0101100110010010010001
31100202121122221222201112222
42113012002211212102101
52330104120433124112
634025535335030425
72121104364001253
oct227060245462221
940677587881488
1010383126848657
113343506467042
1211b83a020b415
135a4180b57734
1427c7903d1cd3
1513015036e372
hex97182966491

10383126848657 has 2 divisors, whose sum is σ = 10383126848658. Its totient is φ = 10383126848656.

The previous prime is 10383126848629. The next prime is 10383126848671. The reversal of 10383126848657 is 75684862138301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7954030043521 + 2429096805136 = 2820289^2 + 1558556^2 .

It is a cyclic number.

It is not a de Polignac number, because 10383126848657 - 210 = 10383126847633 is a prime.

It is a super-3 number, since 3×103831268486573 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10383126848657.

It is not a weakly prime, because it can be changed into another prime (10383126848617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5191563424328 + 5191563424329.

It is an arithmetic number, because the mean of its divisors is an integer number (5191563424329).

Almost surely, 210383126848657 is an apocalyptic number.

It is an amenable number.

10383126848657 is a deficient number, since it is larger than the sum of its proper divisors (1).

10383126848657 is an equidigital number, since it uses as much as digits as its factorization.

10383126848657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46448640, while the sum is 62.

The spelling of 10383126848657 in words is "ten trillion, three hundred eighty-three billion, one hundred twenty-six million, eight hundred forty-eight thousand, six hundred fifty-seven".