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13928269074435 = 32517118051154229
BaseRepresentation
bin1100101010101110110110…
…0001111101000000000011
31211022112022000112101101200
43022223231201331000003
53311200043340340220
645342320344232243
72635166330503512
oct312535541750003
954275260471350
1013928269074435
11448aa44868621
12168b48516b683
137a05790229b1
143621bba00679
1519248d87a890
hexcaaed87d003

13928269074435 has 48 divisors (see below), whose sum is σ = 25562852583840. Its totient is φ = 6991340313600.

The previous prime is 13928269074409. The next prime is 13928269074481. The reversal of 13928269074435 is 53447096282931.

13928269074435 is a `hidden beast` number, since 1 + 3 + 9 + 28 + 26 + 90 + 74 + 435 = 666.

It is not a de Polignac number, because 13928269074435 - 223 = 13928260685827 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90231901 + ... + 90386129.

It is an arithmetic number, because the mean of its divisors is an integer number (532559428830).

It is a 1-persistent number, because it is pandigital, but 2⋅13928269074435 = 27856538148870 is not.

Almost surely, 213928269074435 is an apocalyptic number.

13928269074435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13928269074435 is a deficient number, since it is larger than the sum of its proper divisors (11634583509405).

13928269074435 is a wasteful number, since it uses less digits than its factorization.

13928269074435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272308 (or 272305 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 13928269074435 in words is "thirteen trillion, nine hundred twenty-eight billion, two hundred sixty-nine million, seventy-four thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 118051 154229 354153 462687 590255 771145 1062459 1388061 1770765 2006867 2313435 2621893 5312295 6020601 6940305 7865679 10034335 13109465 18061803 23597037 30103005 39328395 90309015 117985185 18206887679 54620663037 91034438395 163861989111 273103315185 309517090543 819309945555 928551271629 1547585452715 2785653814887 4642756358145 13928269074435