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14585875984 = 2410922772
BaseRepresentation
bin11011001010110001…
…01100111000010000
31101122111220021100001
431211120230320100
5214332441012414
610411201535344
71024310620531
oct154530547020
941574807301
1014585875984
11620538a569
1229b0944554
1314b5b00a64
149c5224688
155a57b1074
hex36562ce10

14585875984 has 45 divisors (see below), whose sum is σ = 28625119047. Its totient is φ = 7199943552.

The previous prime is 14585875963. The next prime is 14585876003. The reversal of 14585875984 is 48957858541.

The square root of 14585875984 is 120772.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 346704400 + 14239171584 = 18620^2 + 119328^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52656454 + ... + 52656730.

Almost surely, 214585875984 is an apocalyptic number.

14585875984 is the 120772-nd square number.

It is an amenable number.

14585875984 is a deficient number, since it is larger than the sum of its proper divisors (14039243063).

14585875984 is an frugal number, since it uses more digits than its factorization.

14585875984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 388 counting only the distinct ones).

The product of its digits is 64512000, while the sum is 64.

Multiplying 14585875984 by its sum of digits (64), we get a square (933496062976 = 9661762).

The spelling of 14585875984 in words is "fourteen billion, five hundred eighty-five million, eight hundred seventy-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 109 218 277 436 554 872 1108 1744 2216 4432 11881 23762 30193 47524 60386 76729 95048 120772 153458 190096 241544 306916 483088 613832 1227664 3291037 6582074 8363461 13164148 16726922 26328296 33453844 52656592 66907688 133815376 911617249 1823234498 3646468996 7292937992 14585875984