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19887669504 = 28341756417
BaseRepresentation
bin10010100001011001…
…011100000100000000
31220100000011021210000
4102201121130010000
5311212220411004
613045233440000
71302556254513
oct224131340400
956300137700
1019887669504
1184860864aa
123a30410000
131b4c3378a1
14d69404d7a
157b5e7cc39
hex4a165c100

19887669504 has 180 divisors, whose sum is σ = 62790864444. Its totient is φ = 6239158272.

The previous prime is 19887669499. The next prime is 19887669511. The reversal of 19887669504 is 40596678891.

It can be written as a sum of positive squares in 2 ways, for example, as 13841051904 + 6046617600 = 117648^2 + 77760^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 324304 + ... + 380720.

Almost surely, 219887669504 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 19887669504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31395432222).

19887669504 is an abundant number, since it is smaller than the sum of its proper divisors (42903194940).

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

19887669504 is an equidigital number, since it uses as much as digits as its factorization.

19887669504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56462 (or 56439 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 19887669504 in words is "nineteen billion, eight hundred eighty-seven million, six hundred sixty-nine thousand, five hundred four".