Search a number
-
+
290215380948395 = 57291731652754241
BaseRepresentation
bin100000111111100110000100…
…0101100001001010110101011
31102001120022121212222011011112
41001333030020230021112223
5301014342100010322040
62505123034440220535
7115062240454011560
oct10177141054112653
91361508555864145
10290215380948395
1184520719711901
1228671827a6a74b
13c5c2268015576
1451946dc454867
15238427c353365
hex107f308b095ab

290215380948395 has 32 divisors (see below), whose sum is σ = 414114102875520. Its totient is φ = 191031946076160.

The previous prime is 290215380948391. The next prime is 290215380948401. The reversal of 290215380948395 is 593849083512092.

It is a happy number.

It is not a de Polignac number, because 290215380948395 - 22 = 290215380948391 is a prime.

It is a super-3 number, since 3×2902153809483953 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (290215380948391) 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 in 31 ways as a sum of consecutive naturals, for example, 826201526 + ... + 826552715.

It is an arithmetic number, because the mean of its divisors is an integer number (12941065714860).

Almost surely, 2290215380948395 is an apocalyptic number.

290215380948395 is a deficient number, since it is larger than the sum of its proper divisors (123898721927125).

290215380948395 is a wasteful number, since it uses less digits than its factorization.

290215380948395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652754455.

The product of its (nonzero) digits is 167961600, while the sum is 68.

The spelling of 290215380948395 in words is "two hundred ninety trillion, two hundred fifteen billion, three hundred eighty million, nine hundred forty-eight thousand, three hundred ninety-five".

Divisors: 1 5 7 29 35 145 173 203 865 1015 1211 5017 6055 25085 35119 175595 1652754241 8263771205 11569279687 47929872989 57846398435 239649364945 285926483693 335509110923 1429632418465 1677545554615 2001485385851 8291868027097 10007426929255 41459340135485 58043076189679 290215380948395