Search a number
-
+
10076947800169 is a prime number
BaseRepresentation
bin1001001010100011100011…
…1001001110000001101001
31022200100100211002111210011
42102220320321032001221
52310100042114101134
633233141431251521
72060015106014155
oct222507071160151
938610324074704
1010076947800169
1132356783671a8
121168b91519ba1
13581337b30323
1426ba26794065
151271d04ab264
hex92a38e4e069

10076947800169 has 2 divisors, whose sum is σ = 10076947800170. Its totient is φ = 10076947800168.

The previous prime is 10076947800163. The next prime is 10076947800187. The reversal of 10076947800169 is 96100874967001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9774627073600 + 302320726569 = 3126440^2 + 549837^2 .

It is a cyclic number.

It is not a de Polignac number, because 10076947800169 - 225 = 10076914245737 is a prime.

It is a super-2 number, since 2×100769478001692 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10076947800163) 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, 5038473900084 + 5038473900085.

It is an arithmetic number, because the mean of its divisors is an integer number (5038473900085).

Almost surely, 210076947800169 is an apocalyptic number.

It is an amenable number.

10076947800169 is a deficient number, since it is larger than the sum of its proper divisors (1).

10076947800169 is an equidigital number, since it uses as much as digits as its factorization.

10076947800169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4572288, while the sum is 58.

The spelling of 10076947800169 in words is "ten trillion, seventy-six billion, nine hundred forty-seven million, eight hundred thousand, one hundred sixty-nine".