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128340127512 = 23332325833359
BaseRepresentation
bin111011110000110101…
…0101110111100011000
3110021021020120222122000
41313201222232330120
54100320033040022
6134543022201000
712162250040652
oct1674152567430
9407236528560
10128340127512
114a479724393
1220a58a23160
13c144037b6c
1462d6c6b6d2
1535122896ac
hex1de1aaef18

128340127512 has 64 divisors (see below), whose sum is σ = 372000384000. Its totient is φ = 40920039072.

The previous prime is 128340127511. The next prime is 128340127519. The reversal of 128340127512 is 215721043821.

128340127512 is a `hidden beast` number, since 1 + 2 + 83 + 40 + 1 + 27 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128340127511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12911712 + ... + 12921647.

It is an arithmetic number, because the mean of its divisors is an integer number (5812506000).

Almost surely, 2128340127512 is an apocalyptic number.

128340127512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128340127512 is an abundant number, since it is smaller than the sum of its proper divisors (243660256488).

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

128340127512 is a wasteful number, since it uses less digits than its factorization.

128340127512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25833397 (or 25833387 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 128340127512 in words is "one hundred twenty-eight billion, three hundred forty million, one hundred twenty-seven thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 25833359 51666718 77500077 103333436 155000154 206666872 232500231 310000308 465000462 594167257 620000616 697500693 930000924 1188334514 1395001386 1782501771 1860001848 2376669028 2790002772 3565003542 4753338056 5347505313 5580005544 7130007084 10695010626 14260014168 16042515939 21390021252 32085031878 42780042504 64170063756 128340127512