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13828128498 = 232768229361
BaseRepresentation
bin11001110000011100…
…00111111011110010
31022200201001201012100
430320032013323302
5211310000102443
610204052441230
7666450103302
oct147016077362
938621051170
1013828128498
115956688678
12281b019216
1313c4b22a72
14952737602
1555ded33d3
hex338387ef2

13828128498 has 12 divisors (see below), whose sum is σ = 29960945118. Its totient is φ = 4609376160.

The previous prime is 13828128497. The next prime is 13828128527. The reversal of 13828128498 is 89482182831.

13828128498 is a `hidden beast` number, since 1 + 3 + 8 + 28 + 128 + 498 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8333316369 + 5494812129 = 91287^2 + 74127^2 .

It is not an unprimeable number, because it can be changed into a prime (13828128497) 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 5 ways as a sum of consecutive naturals, for example, 384114663 + ... + 384114698.

Almost surely, 213828128498 is an apocalyptic number.

13828128498 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13828128498 is an abundant number, since it is smaller than the sum of its proper divisors (16132816620).

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

13828128498 is a wasteful number, since it uses less digits than its factorization.

13828128498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768229369 (or 768229366 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The spelling of 13828128498 in words is "thirteen billion, eight hundred twenty-eight million, one hundred twenty-eight thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 9 18 768229361 1536458722 2304688083 4609376166 6914064249 13828128498