Search a number
-
+
29318380476025 = 52127285272
BaseRepresentation
bin1101010101010001101111…
…01001110101011001111001
310211210210212100022021202111
412222220313221311121321
512320323020400213100
6142204402243132321
76114116541132304
oct652506751653171
9124723770267674
1029318380476025
1193839454a5113
1233561223740a1
131348932c99634
14735035233b3b
1535c9896d36ba
hex1aaa37a75679

29318380476025 has 27 divisors (see below), whose sum is σ = 36647601825519. Its totient is φ = 23267292688080.

The previous prime is 29318380476001. The next prime is 29318380476031. The reversal of 29318380476025 is 52067408381392.

It is a happy number.

The square root of 29318380476025 is 5414645.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10554616971369 + 18763763504656 = 3248787^2 + 4331716^2 .

It is not a de Polignac number, because 29318380476025 - 237 = 29180941522553 is a prime.

It is a super-3 number, since 3×293183804760253 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3438295312 + ... + 3438303838.

It is a 1-persistent number, because it is pandigital, but 2⋅29318380476025 = 58636760952050 is not.

Almost surely, 229318380476025 is an apocalyptic number.

29318380476025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29318380476025 is the 5414645-th square number.

29318380476025 is the 2707323-rd centered octagonal number.

It is an amenable number.

29318380476025 is a deficient number, since it is larger than the sum of its proper divisors (7329221349494).

29318380476025 is an frugal number, since it uses more digits than its factorization.

29318380476025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17318 (or 8659 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 29318380476025 in words is "twenty-nine trillion, three hundred eighteen billion, three hundred eighty million, four hundred seventy-six thousand, twenty-five".

Divisors: 1 5 25 127 635 3175 8527 16129 42635 80645 213175 403225 1082929 5414645 27073225 72709729 137531983 363548645 687659915 1817743225 3438299575 9234135583 46170677915 230853389575 1172735219041 5863676095205 29318380476025