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468046721680 = 2455850584021
BaseRepresentation
bin1101100111110011100…
…00100011001010010000
31122202002222110222201221
412303321300203022100
530132024430043210
6555003453334424
745546430330456
oct6637160431220
91582088428657
10468046721680
1117055219956a
1276863a97414
13351a11b97b5
14189216029d6
15c2957c51da
hex6cf9c23290

468046721680 has 20 divisors (see below), whose sum is σ = 1088208628092. Its totient is φ = 187218688640.

The previous prime is 468046721669. The next prime is 468046721693. The reversal of 468046721680 is 86127640864.

It can be written as a sum of positive squares in 2 ways, for example, as 373800177664 + 94246544016 = 611392^2 + 306996^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2925291931 + ... + 2925292090.

Almost surely, 2468046721680 is an apocalyptic number.

468046721680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468046721680 is an abundant number, since it is smaller than the sum of its proper divisors (620161906412).

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

468046721680 is a wasteful number, since it uses less digits than its factorization.

468046721680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5850584034 (or 5850584028 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 468046721680 in words is "four hundred sixty-eight billion, forty-six million, seven hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5850584021 11701168042 23402336084 29252920105 46804672168 58505840210 93609344336 117011680420 234023360840 468046721680