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128256453 = 34133492
BaseRepresentation
bin1111010010100…
…00100111000101
322221100002210000
413221100213011
5230313201303
620420551513
73115106343
oct751204705
9287302700
10128256453
1166440a76
1236b52599
1320757cc0
1413068993
15b3d6da3
hex7a509c5

128256453 has 30 divisors (see below), whose sum is σ = 206923794. Its totient is φ = 78700896.

The previous prime is 128256451. The next prime is 128256461. The reversal of 128256453 is 354652821.

128256453 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 5 + 645 + 3 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 23357889 + 104898564 = 4833^2 + 10242^2 .

It is not a de Polignac number, because 128256453 - 21 = 128256451 is a prime.

It is a super-2 number, since 2×1282564532 = 32899435472282418, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128256451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 367323 + ... + 367671.

Almost surely, 2128256453 is an apocalyptic number.

128256453 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

128256453 is a deficient number, since it is larger than the sum of its proper divisors (78667341).

128256453 is an frugal number, since it uses more digits than its factorization.

128256453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 365 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 128256453 is about 11325.0365562324. The cubic root of 128256453 is about 504.3047689003.

The spelling of 128256453 in words is "one hundred twenty-eight million, two hundred fifty-six thousand, four hundred fifty-three".

Divisors: 1 3 9 13 27 39 81 117 349 351 1047 1053 3141 4537 9423 13611 28269 40833 121801 122499 365403 367497 1096209 1583413 3288627 4750239 9865881 14250717 42752151 128256453