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5957245995822 = 234112192943101127
BaseRepresentation
bin101011010110000011110…
…0010000000101100101110
3210002111200201100002220000
41112230013202000230232
51240100414433331242
620400415424205130
71153253052321522
oct126540742005456
923074621302800
105957245995822
1119974aa072300
128026797697a6
133429c5865c84
14168491971d82
15a4e657eea4c
hex56b07880b2e

5957245995822 has 960 divisors, whose sum is σ = 16640728473600. Its totient is φ = 1584297792000.

The previous prime is 5957245995797. The next prime is 5957245995823. The reversal of 5957245995822 is 2285995427595.

5957245995822 is a `hidden beast` number, since 5 + 9 + 5 + 7 + 2 + 4 + 599 + 5 + 8 + 22 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5957245995823) by changing a digit.

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 479 ways as a sum of consecutive naturals, for example, 46907448723 + ... + 46907448849.

It is an arithmetic number, because the mean of its divisors is an integer number (17334092160).

Almost surely, 25957245995822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5957245995822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8320364236800).

5957245995822 is an abundant number, since it is smaller than the sum of its proper divisors (10683482477778).

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

5957245995822 is a wasteful number, since it uses less digits than its factorization.

5957245995822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its digits is 816480000, while the sum is 72.

The spelling of 5957245995822 in words is "five trillion, nine hundred fifty-seven billion, two hundred forty-five million, nine hundred ninety-five thousand, eight hundred twenty-two".