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2728682496 = 21032319551
BaseRepresentation
bin1010001010100100…
…0110010000000000
321001011111102200200
42202221012100000
521042020314441
61130433045200
7124422263361
oct24251062000
97034442620
102728682496
1111802a7601
126419b6800
13346419b37
141bc57bb68
1510e84d7b6
hexa2a46400

2728682496 has 132 divisors (see below), whose sum is σ = 8134024704. Its totient is φ = 880128000.

The previous prime is 2728682483. The next prime is 2728682507. The reversal of 2728682496 is 6942868272.

2728682496 is a `hidden beast` number, since 2 + 72 + 8 + 6 + 82 + 496 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280921 + ... + 290471.

Almost surely, 22728682496 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 2728682496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067012352).

2728682496 is an abundant number, since it is smaller than the sum of its proper divisors (5405342208).

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

2728682496 is a wasteful number, since it uses less digits than its factorization.

2728682496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9608 (or 9587 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 2728682496 is about 52236.7925508448. The cubic root of 2728682496 is about 1397.3901199979.

The spelling of 2728682496 in words is "two billion, seven hundred twenty-eight million, six hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2232 2304 2976 3072 3968 4464 4608 5952 7936 8928 9216 9551 11904 15872 17856 19102 23808 28653 31744 35712 38204 47616 57306 71424 76408 85959 95232 114612 142848 152816 171918 229224 285696 296081 305632 343836 458448 592162 611264 687672 888243 916896 1184324 1222528 1375344 1776486 1833792 2368648 2445056 2664729 2750688 3552972 3667584 4737296 4890112 5329458 5501376 7105944 7335168 9474592 9780224 10658916 11002752 14211888 14670336 18949184 21317832 22005504 28423776 29340672 37898368 42635664 44011008 56847552 75796736 85271328 88022016 113695104 151593472 170542656 227390208 303186944 341085312 454780416 682170624 909560832 1364341248 2728682496