Search a number
-
+
52895674385280 = 27325241351110853
BaseRepresentation
bin11000000011011101110111…
…11000011100001110000000
320221021202222111101012110200
430001232323320130032000
523413120320120312110
6304255534244525200
714066405056531116
oct1401567370341600
9227252874335420
1052895674385280
1115943a25226371
125b236523b0800
13236906b525cbc
14d0c242ba9ab6
1561ae105256c0
hex301bbbe1c380

52895674385280 has 384 divisors, whose sum is σ = 183482425938240. Its totient is φ = 14041689292800.

The previous prime is 52895674385243. The next prime is 52895674385287. The reversal of 52895674385280 is 8258347659825.

52895674385280 is a `hidden beast` number, since 5 + 2 + 8 + 9 + 5 + 67 + 4 + 38 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 52895674385199 and 52895674385208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52895674385287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4873824334 + ... + 4873835186.

Almost surely, 252895674385280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52895674385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91741212969120).

52895674385280 is an abundant number, since it is smaller than the sum of its proper divisors (130586751552960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52895674385280 is a wasteful number, since it uses less digits than its factorization.

52895674385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14630 (or 14615 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 72.

The spelling of 52895674385280 in words is "fifty-two trillion, eight hundred ninety-five billion, six hundred seventy-four million, three hundred eighty-five thousand, two hundred eighty".