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5957142981480 = 2334541101344269
BaseRepresentation
bin101011010110000000101…
…1001000010101101101000
3210002111102112111102210000
41112230001121002231220
51240100212100401410
620400401304223000
71153250361603255
oct126540131025550
923074375442700
105957142981480
111997456a02089
1280264b16aa60
133429aa408442
14168481dd842c
15a4e5b751dc0
hex56b01642b68

5957142981480 has 320 divisors, whose sum is σ = 20531687576400. Its totient is φ = 1548260904960.

The previous prime is 5957142981401. The next prime is 5957142981481. The reversal of 5957142981480 is 841892417595.

5957142981480 is a `hidden beast` number, since 5 + 9 + 5 + 7 + 142 + 9 + 8 + 1 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 872830536516 + 5084312444964 = 934254^2 + 2254842^2 .

It is not an unprimeable number, because it can be changed into a prime (5957142981481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 134544786 + ... + 134589054.

Almost surely, 25957142981480 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 5957142981480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10265843788200).

5957142981480 is an abundant number, since it is smaller than the sum of its proper divisors (14574544594920).

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

5957142981480 is a wasteful number, since it uses less digits than its factorization.

5957142981480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45346 (or 45333 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 5957142981480 in words is "five trillion, nine hundred fifty-seven billion, one hundred forty-two million, nine hundred eighty-one thousand, four hundred eighty".