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2295381138960 = 2435721337439437
BaseRepresentation
bin100001011001101111011…
…000001001111000010000
322010102210001120102111210
4201121233120021320100
5300101420032421320
64514252235540120
7324556453521300
oct41315730117020
98112701512453
102295381138960
118055138a3458
12310a3a5ba640
131385b84a0ac0
147d1503c5600
153ea94e200e0
hex2166f609e10

2295381138960 has 960 divisors, whose sum is σ = 9368974847232. Its totient is φ = 460203835392.

The previous prime is 2295381138959. The next prime is 2295381138977. The reversal of 2295381138960 is 698311835922.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2295381138960.

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, 243227362 + ... + 243236798.

Almost surely, 22295381138960 is an apocalyptic number.

2295381138960 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 2295381138960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684487423616).

2295381138960 is an abundant number, since it is smaller than the sum of its proper divisors (7073593708272).

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

2295381138960 is a wasteful number, since it uses less digits than its factorization.

2295381138960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9560 (or 9547 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 2295381138960 in words is "two trillion, two hundred ninety-five billion, three hundred eighty-one million, one hundred thirty-eight thousand, nine hundred sixty".