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6806177792 = 21118232
BaseRepresentation
bin1100101011010111…
…00000100000000000
3122120100000122200222
412111223200200000
5102414340142132
63043212002212
7330443361641
oct62553404000
918510018628
106806177792
112982a01127
12139b460368
1384610284b
14487d056c8
1529c7d0412
hex195ae0800

6806177792 has 36 divisors (see below), whose sum is σ = 13616501535. Its totient is φ = 3401222144.

The previous prime is 6806177773. The next prime is 6806177831. The reversal of 6806177792 is 2977716086.

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 can be written as a sum of positive squares in only one way, i.e., 3403088896 + 3403088896 = 58336^2 + 58336^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=58336.

It is a super-2 number, since 2×68061777922 = 92648112272627990528, which contains 22 as substring.

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 2 ways as a sum of consecutive naturals, for example, 3732593 + ... + 3734415.

Almost surely, 26806177792 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 6806177792

6806177792 is an abundant number, since it is smaller than the sum of its proper divisors (6810323743).

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

6806177792 is an frugal number, since it uses more digits than its factorization.

6806177792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 53.

The square root of 6806177792 is about 82499.5623745969. The cubic root of 6806177792 is about 1895.1100287684.

The spelling of 6806177792 in words is "six billion, eight hundred six million, one hundred seventy-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1823 2048 3646 7292 14584 29168 58336 116672 233344 466688 933376 1866752 3323329 3733504 6646658 13293316 26586632 53173264 106346528 212693056 425386112 850772224 1701544448 3403088896 6806177792