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324875064384 = 26341346110457
BaseRepresentation
bin1001011101001000001…
…00000001010001000000
31011001120002202020010000
410232210010001101000
520310321004030014
6405125012040000
732320464325053
oct4564404012100
91131502666100
10324875064384
11115862560352
1252b68003000
1324835500810
1411a1ca86a9a
1586b6403509
hex4ba4101440

324875064384 has 280 divisors, whose sum is σ = 1039459900248. Its totient is φ = 99735183360.

The previous prime is 324875064379. The next prime is 324875064391. The reversal of 324875064384 is 483460578423.

324875064384 is a `hidden beast` number, since 3 + 24 + 87 + 506 + 4 + 38 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36377169984 + 288497894400 = 190728^2 + 537120^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 324875064384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31062484 + ... + 31072940.

Almost surely, 2324875064384 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 324875064384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519729950124).

324875064384 is an abundant number, since it is smaller than the sum of its proper divisors (714584835864).

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

324875064384 is a wasteful number, since it uses less digits than its factorization.

324875064384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10955 (or 10936 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 324875064384 in words is "three hundred twenty-four billion, eight hundred seventy-five million, sixty-four thousand, three hundred eighty-four".