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6806759652 = 223271121931379
BaseRepresentation
bin1100101011011011…
…01110100011100100
3122120101010012212100
412111231232203210
5102420012302102
63043232252100
7330451334220
oct62555564344
918511105770
106806759652
112983269300
12139b6a1030
13846277644
14488017780
1529c897a1c
hex195b6e8e4

6806759652 has 432 divisors, whose sum is σ = 23547596800. Its totient is φ = 1616630400.

The previous prime is 6806759647. The next prime is 6806759669. The reversal of 6806759652 is 2569576086.

It is a happy number.

It is a super-2 number, since 2×68067596522 = 92663953920190322208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17959599 + ... + 17959977.

Almost surely, 26806759652 is an apocalyptic number.

6806759652 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6806759652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11773798400).

6806759652 is an abundant number, since it is smaller than the sum of its proper divisors (16740837148).

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

6806759652 is a wasteful number, since it uses less digits than its factorization.

6806759652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 6806759652 is about 82503.0887421798. The cubic root of 6806759652 is about 1895.1640315354.

The spelling of 6806759652 in words is "six billion, eight hundred six million, seven hundred fifty-nine thousand, six hundred fifty-two".