Search a number
-
+
382025311478569 = 117115711897261881
BaseRepresentation
bin101011011011100110011001…
…0111111000110001100101001
31212002122021002210122210112101
41112313030302333012030221
5400033100314214303234
63432300001050413401
7143316263231254603
oct12667146277061451
91762567083583471
10382025311478569
111007a802aa4a980
1236a1b093a31261
1313521aa8721245
146a4a1a3744173
152e2754d472814
hex15b7332fc6329

382025311478569 has 32 divisors (see below), whose sum is σ = 425353923378432. Its totient is φ = 340193433216000.

The previous prime is 382025311478557. The next prime is 382025311478623. The reversal of 382025311478569 is 965874113520283.

It is a cyclic number.

It is not a de Polignac number, because 382025311478569 - 235 = 381990951740201 is a prime.

It is a super-2 number, since 2×3820253114785692 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 382025311478569.

It is not an unprimeable number, because it can be changed into a prime (382025311478509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1458643509 + ... + 1458905389.

It is an arithmetic number, because the mean of its divisors is an integer number (13292310105576).

It is a 2-persistent number, because it is pandigital, and so is 2⋅382025311478569 = 764050622957138, but 3⋅382025311478569 = 1146075934435707 is not.

Almost surely, 2382025311478569 is an apocalyptic number.

It is an amenable number.

382025311478569 is a deficient number, since it is larger than the sum of its proper divisors (43328611899863).

382025311478569 is a wasteful number, since it uses less digits than its factorization.

382025311478569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274017.

The product of its (nonzero) digits is 87091200, while the sum is 64.

The spelling of 382025311478569 in words is "three hundred eighty-two trillion, twenty-five billion, three hundred eleven million, four hundred seventy-eight thousand, five hundred sixty-nine".

Divisors: 1 11 71 157 781 1727 11147 11897 122617 130867 261881 844687 1867829 2880691 9291557 18593551 20546119 41115317 132615859 204529061 452268487 1458774449 2919187507 3115598257 32111062577 34271580827 221207476247 489148926349 2433282238717 5380638189839 34729573770779 382025311478569