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6808230144 = 28361912
BaseRepresentation
bin1100101011100110…
…10101100100000000
3122120110212221000000
412111303111210000
5102420401331034
63043324000000
7330500000322
oct62563254400
918513787000
106808230144
112984083091
1213a0090000
13846670a61
144882bb612
1529ca88599
hex195cd5900

6808230144 has 189 divisors, whose sum is σ = 20482713979. Its totient is φ = 2257528320.

The previous prime is 6808230139. The next prime is 6808230179. The reversal of 6808230144 is 4410328086.

The square root of 6808230144 is 82512.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6808230099 and 6808230108.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 35645089 + ... + 35645279.

Almost surely, 26808230144 is an apocalyptic number.

6808230144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6808230144 is the 82512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6808230144

6808230144 is an abundant number, since it is smaller than the sum of its proper divisors (13674483835).

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

6808230144 is an frugal number, since it uses more digits than its factorization.

6808230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The cubic root of 6808230144 is about 1895.3004950428.

Multiplying 6808230144 by its sum of digits (36), we get a square (245096285184 = 4950722).

6808230144 divided by its sum of digits (36) gives a square (189117504 = 137522).

Multiplying 6808230144 by its product of nonzero digits (36864), we get a square (250978596028416 = 158423042).

The spelling of 6808230144 in words is "six billion, eight hundred eight million, two hundred thirty thousand, one hundred forty-four".