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128158297344 = 28327211313329
BaseRepresentation
bin111011101011011010…
…1000110110100000000
3110020210120110001112100
41313112311012310000
54044432011003334
6134513005030400
712154611360600
oct1672665066400
9406716401470
10128158297344
114a396021720
1220a07b55400
13c115472c4c
1462baa58c00
15350131dc99
hex1dd6d46d00

128158297344 has 648 divisors, whose sum is σ = 484188606720. Its totient is φ = 32204390400.

The previous prime is 128158297339. The next prime is 128158297361. The reversal of 128158297344 is 443792851821.

128158297344 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 5 + 8 + 297 + 344 = 666.

It is a super-2 number, since 2×1281582973442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38495872 + ... + 38499200.

It is an arithmetic number, because the mean of its divisors is an integer number (747204640).

Almost surely, 2128158297344 is an apocalyptic number.

128158297344 is a gapful number since it is divisible by the number (14) 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 128158297344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242094303360).

128158297344 is an abundant number, since it is smaller than the sum of its proper divisors (356030309376).

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

128158297344 is a wasteful number, since it uses less digits than its factorization.

128158297344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407 (or 3383 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 128158297344 in words is "one hundred twenty-eight billion, one hundred fifty-eight million, two hundred ninety-seven thousand, three hundred forty-four".