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6819020900 = 225268190209
BaseRepresentation
bin1100101100111001…
…00000000001100100
3122121020012011010122
412112130200001210
5102431132132100
63044351141112
7330660502256
oct62634400144
918536164118
106819020900
11298a18336a
1213a3814798
1384897b513
144898c9cd6
1529d9ba985
hex196720064

6819020900 has 18 divisors (see below), whose sum is σ = 14797275570. Its totient is φ = 2727608320.

The previous prime is 6819020861. The next prime is 6819020917. The reversal of 6819020900 is 90209186.

It can be written as a sum of positive squares in 3 ways, for example, as 1000077376 + 5818943524 = 31624^2 + 76282^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34095005 + ... + 34095204.

It is an arithmetic number, because the mean of its divisors is an integer number (822070865).

Almost surely, 26819020900 is an apocalyptic number.

It is an amenable number.

6819020900 is an abundant number, since it is smaller than the sum of its proper divisors (7978254670).

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

6819020900 is a wasteful number, since it uses less digits than its factorization.

6819020900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68190223 (or 68190216 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 6819020900 is about 82577.3631208941. The cubic root of 6819020900 is about 1896.3012901208.

The spelling of 6819020900 in words is "six billion, eight hundred nineteen million, twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 68190209 136380418 272760836 340951045 681902090 1363804180 1704755225 3409510450 6819020900