Search a number
-
+
477870164141 is a prime number
BaseRepresentation
bin1101111010000110100…
…10000000100010101101
31200200110121000120110012
412331003102000202231
530312134230223031
61003310332023005
746345032242426
oct6750322004255
91620417016405
10477870164141
11174733282257
1278745901a65
13360a8439c46
14191b412664d
15c66ce09b2b
hex6f434808ad

477870164141 has 2 divisors, whose sum is σ = 477870164142. Its totient is φ = 477870164140.

The previous prime is 477870164129. The next prime is 477870164173. The reversal of 477870164141 is 141461078774.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 436068726025 + 41801438116 = 660355^2 + 204454^2 .

It is a cyclic number.

It is not a de Polignac number, because 477870164141 - 26 = 477870164077 is a prime.

It is a super-3 number, since 3×4778701641413 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 477870164141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (477870164641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 238935082070 + 238935082071.

It is an arithmetic number, because the mean of its divisors is an integer number (238935082071).

Almost surely, 2477870164141 is an apocalyptic number.

It is an amenable number.

477870164141 is a deficient number, since it is larger than the sum of its proper divisors (1).

477870164141 is an equidigital number, since it uses as much as digits as its factorization.

477870164141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1053696, while the sum is 50.

The spelling of 477870164141 in words is "four hundred seventy-seven billion, eight hundred seventy million, one hundred sixty-four thousand, one hundred forty-one".