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14807139872 = 25744392
BaseRepresentation
bin11011100101001001…
…10000011000100000
31102012221020122022212
431302210300120200
5220311111433442
610445144221252
71032635420000
oct156244603040
942187218285
1014807139872
116309276388
122a52a6a828
13151c8c1835
14a06780000
155b9e1aa82
hex372930620

14807139872 has 90 divisors (see below), whose sum is σ = 34085769543. Its totient is φ = 6331461696.

The previous prime is 14807139833. The next prime is 14807139883. The reversal of 14807139872 is 27893170841.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 7403569936 + 7403569936 = 86044^2 + 86044^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=86044.

It is a self number, because there is not a number n which added to its sum of digits gives 14807139872.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 33729029 + ... + 33729467.

Almost surely, 214807139872 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 14807139872

14807139872 is an abundant number, since it is smaller than the sum of its proper divisors (19278629671).

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

14807139872 is an frugal number, since it uses more digits than its factorization.

14807139872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 50.

Multiplying 14807139872 by its sum of digits (50), we get a square (740356993600 = 8604402).

The spelling of 14807139872 in words is "fourteen billion, eight hundred seven million, one hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 439 686 784 878 1372 1568 1756 2401 2744 3073 3512 4802 5488 6146 7024 9604 10976 12292 14048 19208 21511 24584 38416 43022 49168 76832 86044 98336 150577 172088 192721 301154 344176 385442 602308 688352 770884 1054039 1204616 1349047 1541768 2108078 2409232 2698094 3083536 4216156 4818464 5396188 6167072 8432312 9443329 10792376 16864624 18886658 21584752 33729248 37773316 43169504 66103303 75546632 132206606 151093264 264413212 302186528 462723121 528826424 925446242 1057652848 1850892484 2115305696 3701784968 7403569936 14807139872