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260045325540 = 22325721113206179
BaseRepresentation
bin1111001000101111101…
…0001100010011100100
3220212020000011021012100
43302023322030103210
513230033100404130
6315244013452100
724534110540100
oct3621372142344
9825200137170
10260045325540
11a0314896a90
12424947a1030
131b6a3288bc0
14c82c9b2900
156b6eb7bc60
hex3c8be8c4e4

260045325540 has 432 divisors, whose sum is σ = 1078011305280. Its totient is φ = 49878581760.

The previous prime is 260045325473. The next prime is 260045325601. The reversal of 260045325540 is 45523540062.

260045325540 is a `hidden beast` number, since 2 + 60 + 0 + 4 + 53 + 2 + 5 + 540 = 666.

260045325540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 260045325495 and 260045325504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1158171 + ... + 1364349.

It is an arithmetic number, because the mean of its divisors is an integer number (2495396540).

Almost surely, 2260045325540 is an apocalyptic number.

260045325540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260045325540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539005652640).

260045325540 is an abundant number, since it is smaller than the sum of its proper divisors (817965979740).

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

260045325540 is a wasteful number, since it uses less digits than its factorization.

260045325540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206232 (or 206220 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

It can be divided in two parts, 260045 and 325540, that added together give a palindrome (585585).

The spelling of 260045325540 in words is "two hundred sixty billion, forty-five million, three hundred twenty-five thousand, five hundred forty".