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12784419072 = 28325548793
BaseRepresentation
bin10111110100000001…
…01100000100000000
31012222222010210000200
423322000230010000
5202140302402242
65512330245200
7631544524545
oct137200540400
935888123020
1012784419072
1154705202a7
122589586800
131289820819
14893c8cbcc
154ec56b04c
hex2fa02c100

12784419072 has 54 divisors (see below), whose sum is σ = 36860638542. Its totient is φ = 4261472256.

The previous prime is 12784419049. The next prime is 12784419091. The reversal of 12784419072 is 27091448721.

It can be written as a sum of positive squares in only one way, i.e., 6564888576 + 6219530496 = 81024^2 + 78864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2772093 + ... + 2776700.

Almost surely, 212784419072 is an apocalyptic number.

12784419072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12784419072 is an abundant number, since it is smaller than the sum of its proper divisors (24076219470).

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

12784419072 is an equidigital number, since it uses as much as digits as its factorization.

12784419072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548815 (or 5548798 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 12784419072 in words is "twelve billion, seven hundred eighty-four million, four hundred nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 5548793 11097586 16646379 22195172 33292758 44390344 49939137 66585516 88780688 99878274 133171032 177561376 199756548 266342064 355122752 399513096 532684128 710245504 799026192 1065368256 1420491008 1598052384 2130736512 3196104768 4261473024 6392209536 12784419072