Search a number
-
+
10009037268277 is a prime number
BaseRepresentation
bin1001000110100110100100…
…0111000110010100110101
31022102212002000110001022021
42101221221013012110311
52302442002020041102
633142031021033141
72052062163015235
oct221515107062465
938385060401267
1010009037268277
11320989966a483
12115799a3b57b1
13577b04556b48
14268623485cc5
15125558532137
hex91a691c6535

10009037268277 has 2 divisors, whose sum is σ = 10009037268278. Its totient is φ = 10009037268276.

The previous prime is 10009037268259. The next prime is 10009037268313. The reversal of 10009037268277 is 77286273090001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6087663047761 + 3921374220516 = 2467319^2 + 1980246^2 .

It is a cyclic number.

It is not a de Polignac number, because 10009037268277 - 243 = 1212944246069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10009037268257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5004518634138 + 5004518634139.

It is an arithmetic number, because the mean of its divisors is an integer number (5004518634139).

Almost surely, 210009037268277 is an apocalyptic number.

It is an amenable number.

10009037268277 is a deficient number, since it is larger than the sum of its proper divisors (1).

10009037268277 is an equidigital number, since it uses as much as digits as its factorization.

10009037268277 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1778112, while the sum is 52.

The spelling of 10009037268277 in words is "ten trillion, nine billion, thirty-seven million, two hundred sixty-eight thousand, two hundred seventy-seven".