Search a number
-
+
10004705632477 is a prime number
BaseRepresentation
bin1001000110010110011011…
…1011001110000011011101
31022102102220010201011001201
42101211212323032003131
52302404114120214402
633140033123035501
72051546634511363
oct221454673160335
938372803634051
1010004705632477
113207a76564386
121156b8b80bb91
1357759400bc3a
14268332085633
151253a30ee687
hex91966ece0dd

10004705632477 has 2 divisors, whose sum is σ = 10004705632478. Its totient is φ = 10004705632476.

The previous prime is 10004705632417. The next prime is 10004705632549. The reversal of 10004705632477 is 77423650740001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7660196502436 + 2344509130041 = 2767706^2 + 1531179^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004705632477 - 223 = 10004697243869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10004705632417) 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, 5002352816238 + 5002352816239.

It is an arithmetic number, because the mean of its divisors is an integer number (5002352816239).

Almost surely, 210004705632477 is an apocalyptic number.

It is an amenable number.

10004705632477 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004705632477 is an equidigital number, since it uses as much as digits as its factorization.

10004705632477 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 987840, while the sum is 46.

The spelling of 10004705632477 in words is "ten trillion, four billion, seven hundred five million, six hundred thirty-two thousand, four hundred seventy-seven".