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19287639405 = 3456721032
BaseRepresentation
bin10001111101101000…
…100000010101101101
31211210012002121020000
4101331220200111231
5304000113430110
612505521014513
71251652141566
oct217550402555
954705077200
1019287639405
1181a8407a61
1238a3484439
131a84c2b3a8
14d0d85116d
1577d4561c0
hex47da2056d

19287639405 has 90 divisors (see below), whose sum is σ = 35442696366. Its totient is φ = 10034826912.

The previous prime is 19287639401. The next prime is 19287639419. The reversal of 19287639405 is 50493678291.

It can be written as a sum of positive squares in only one way, i.e., 15430111524 + 3857527881 = 124218^2 + 62109^2 .

It is not a de Polignac number, because 19287639405 - 22 = 19287639401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19287639401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 187258584 + ... + 187258686.

It is a 1-persistent number, because it is pandigital, but 2⋅19287639405 = 38575278810 is not.

Almost surely, 219287639405 is an apocalyptic number.

19287639405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19287639405 is a deficient number, since it is larger than the sum of its proper divisors (16155056961).

19287639405 is an frugal number, since it uses more digits than its factorization.

19287639405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 19287639405 in words is "nineteen billion, two hundred eighty-seven million, six hundred thirty-nine thousand, four hundred five".

Divisors: 1 3 5 9 15 27 45 67 81 103 135 201 309 335 405 515 603 927 1005 1545 1809 2781 3015 4489 4635 5427 6901 8343 9045 10609 13467 13905 20703 22445 27135 31827 34505 40401 41715 53045 62109 67335 95481 103515 121203 159135 186327 202005 286443 310545 363609 462367 477405 558981 606015 710803 859329 931635 1387101 1432215 1818045 2132409 2311835 2794905 3554015 4161303 4296645 6397227 6935505 10662045 12483909 19191681 20806515 31986135 37451727 47623801 57575043 62419545 95958405 142871403 187258635 238119005 287875215 428614209 714357015 1285842627 2143071045 3857527881 6429213135 19287639405