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6894814256 = 241135692
BaseRepresentation
bin1100110101111011…
…01000010000110000
3122210111210212001222
412122331220100300
5103110033024011
63100055444212
7332600645201
oct63275502060
918714725058
106894814256
112a18a41000
121405086668
1385b597c65
144959b95a8
152a548cddb
hex19af68430

6894814256 has 60 divisors (see below), whose sum is σ = 14719438104. Its totient is φ = 3128498560.

The previous prime is 6894814243. The next prime is 6894814261. The reversal of 6894814256 is 6524184986.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a junction number, because it is equal to n+sod(n) for n = 6894814198 and 6894814207.

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, 12117140 + ... + 12117708.

Almost surely, 26894814256 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 6894814256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359719052).

6894814256 is an abundant number, since it is smaller than the sum of its proper divisors (7824623848).

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

6894814256 is an frugal number, since it uses more digits than its factorization.

6894814256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 582 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 53.

The square root of 6894814256 is about 83035.0182513378. The cubic root of 6894814256 is about 1903.3012097419.

The spelling of 6894814256 in words is "six billion, eight hundred ninety-four million, eight hundred fourteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 569 968 1138 1331 1936 2276 2662 4552 5324 6259 9104 10648 12518 21296 25036 50072 68849 100144 137698 275396 323761 550792 647522 757339 1101584 1295044 1514678 2590088 3029356 3561371 5180176 6058712 7122742 12117424 14245484 28490968 39175081 56981936 78350162 156700324 313400648 430925891 626801296 861851782 1723703564 3447407128 6894814256