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260865047430 = 2325131731439839
BaseRepresentation
bin1111001011110011000…
…1001011101110000110
3220221100010121110020100
43302330301023232012
513233222423004210
6315501215144530
724563323213611
oct3627461135606
9827303543210
10260865047430
11a06a5578199
1242683215146
131b7a4055740
14c8a97d3178
156bbbaec5c0
hex3cbcc4bb86

260865047430 has 384 divisors, whose sum is σ = 816985128960. Its totient is φ = 57120215040.

The previous prime is 260865047393. The next prime is 260865047489. The reversal of 260865047430 is 34740568062.

260865047430 is a `hidden beast` number, since 2 + 60 + 86 + 504 + 7 + 4 + 3 + 0 = 666.

It is a super-2 number, since 2×2608650474302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26508451 + ... + 26518289.

It is an arithmetic number, because the mean of its divisors is an integer number (2127565440).

Almost surely, 2260865047430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260865047430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408492564480).

260865047430 is an abundant number, since it is smaller than the sum of its proper divisors (556120081530).

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

260865047430 is a wasteful number, since it uses less digits than its factorization.

260865047430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9956 (or 9953 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 260865047430 in words is "two hundred sixty billion, eight hundred sixty-five million, forty-seven thousand, four hundred thirty".