Search a number
-
+
39527021924389 is a prime number
BaseRepresentation
bin10001111110011000110100…
…00110011101000000100101
312011221202011010020021201101
420333030122012131000211
520140102320103040024
6220022244014400101
711216506310532616
oct1077143206350045
9164852133207641
1039527021924389
111165a35245539a
124524727800031
1319094c783587c
149a9191da3c0d
154882c654ec44
hex23f31a19d025

39527021924389 has 2 divisors, whose sum is σ = 39527021924390. Its totient is φ = 39527021924388.

The previous prime is 39527021924279. The next prime is 39527021924399. The reversal of 39527021924389 is 98342912072593.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35486540015364 + 4040481909025 = 5957058^2 + 2010095^2 .

It is an emirp because it is prime and its reverse (98342912072593) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 39527021924389 - 29 = 39527021923877 is a prime.

It is a super-3 number, since 3×395270219243893 (a number of 42 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 39527021924389.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (39527021924399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19763510962194 + 19763510962195.

It is an arithmetic number, because the mean of its divisors is an integer number (19763510962195).

Almost surely, 239527021924389 is an apocalyptic number.

It is an amenable number.

39527021924389 is a deficient number, since it is larger than the sum of its proper divisors (1).

39527021924389 is an equidigital number, since it uses as much as digits as its factorization.

39527021924389 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 39527021924389 in words is "thirty-nine trillion, five hundred twenty-seven billion, twenty-one million, nine hundred twenty-four thousand, three hundred eighty-nine".