Search a number
-
+
1639607606201 is a prime number
BaseRepresentation
bin10111110111000000001…
…110101001101110111001
312210202010001222100101002
4113313000032221232321
5203330404021344301
63253120401134345
7226313001462425
oct27670016515671
95722101870332
101639607606201
11582398827234
1222592532a3b5
13bb7ca8cb106
1459500b13b85
152c9b390b16b
hex17dc03a9bb9

1639607606201 has 2 divisors, whose sum is σ = 1639607606202. Its totient is φ = 1639607606200.

The previous prime is 1639607606123. The next prime is 1639607606209. The reversal of 1639607606201 is 1026067069361.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1410476893225 + 229130712976 = 1187635^2 + 478676^2 .

It is a cyclic number.

It is not a de Polignac number, because 1639607606201 - 210 = 1639607605177 is a prime.

It is a super-3 number, since 3×16396076062013 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1639607606209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 819803803100 + 819803803101.

It is an arithmetic number, because the mean of its divisors is an integer number (819803803101).

Almost surely, 21639607606201 is an apocalyptic number.

It is an amenable number.

1639607606201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1639607606201 is an equidigital number, since it uses as much as digits as its factorization.

1639607606201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 489888, while the sum is 47.

The spelling of 1639607606201 in words is "one trillion, six hundred thirty-nine billion, six hundred seven million, six hundred six thousand, two hundred one".