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6027348496 = 2413214932
BaseRepresentation
bin1011001110100001…
…00000101000010000
3120120001112000202111
411213100200220100
544321000122441
62434030555104
7302235421411
oct54720405020
916501460674
106027348496
112613310154
121202668a94
13750952c00
144126cb808
1525423b081
hex167420a10

6027348496 has 45 divisors (see below), whose sum is σ = 12653870439. Its totient is φ = 2779989888.

The previous prime is 6027348463. The next prime is 6027348517. The reversal of 6027348496 is 6948437206.

The square root of 6027348496 is 77636.

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 5588496 + 6021760000 = 2364^2 + 77600^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 4036326 + ... + 4037818.

Almost surely, 26027348496 is an apocalyptic number.

6027348496 is the 77636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6027348496

6027348496 is an abundant number, since it is smaller than the sum of its proper divisors (6626521943).

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

6027348496 is an equidigital number, since it uses as much as digits as its factorization.

6027348496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The cubic root of 6027348496 is about 1819.8772706357.

Multiplying 6027348496 by its sum of digits (49), we get a square (295340076304 = 5434522).

The spelling of 6027348496 in words is "six billion, twenty-seven million, three hundred forty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 1493 2704 2986 5972 11944 19409 23888 38818 77636 155272 252317 310544 504634 1009268 2018536 2229049 4037072 4458098 8916196 17832392 28977637 35664784 57955274 115910548 231821096 376709281 463642192 753418562 1506837124 3013674248 6027348496