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5965243342240 = 2557135967103643
BaseRepresentation
bin101011011001110010000…
…1101011101110110100000
3210010021100001202101202111
41112303210031131312200
51240213304243422430
620404221151125104
71153655201540350
oct126634415356640
923107301671674
105965243342240
11199a933398006
1280412bb13794
1334369b68a310
14168a0db48b60
15a5282973c2a
hex56ce435dda0

5965243342240 has 384 divisors, whose sum is σ = 17902519326720. Its totient is φ = 1828185182208.

The previous prime is 5965243342211. The next prime is 5965243342249. The reversal of 5965243342240 is 422433425695.

It is not an unprimeable number, because it can be changed into a prime (5965243342249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57503859 + ... + 57607501.

It is an arithmetic number, because the mean of its divisors is an integer number (46621144080).

Almost surely, 25965243342240 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 5965243342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951259663360).

5965243342240 is an abundant number, since it is smaller than the sum of its proper divisors (11937275984480).

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

5965243342240 is a wasteful number, since it uses less digits than its factorization.

5965243342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103804 (or 103796 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 49.

The spelling of 5965243342240 in words is "five trillion, nine hundred sixty-five billion, two hundred forty-three million, three hundred forty-two thousand, two hundred forty".