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1809010368 = 263311195009
BaseRepresentation
bin110101111010011…
…0100111011000000
311200001222020201000
41223310310323000
512201101312433
6455301212000
762554222464
oct15364647300
94601866630
101809010368
118491592a0
12425a01000
1322aa26349
141323804a4
15a8c38113
hex6bd34ec0

1809010368 has 224 divisors, whose sum is σ = 6108192000. Its totient is φ = 519229440.

The previous prime is 1809010367. The next prime is 1809010381. The reversal of 1809010368 is 8630109081.

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

It is not an unprimeable number, because it can be changed into a prime (1809010361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358648 + ... + 363656.

Almost surely, 21809010368 is an apocalyptic number.

1809010368 is a gapful number since it is divisible by the number (18) 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 1809010368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054096000).

1809010368 is an abundant number, since it is smaller than the sum of its proper divisors (4299181632).

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

1809010368 is a wasteful number, since it uses less digits than its factorization.

1809010368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1809010368 is about 42532.4625198213. The cubic root of 1809010368 is about 1218.4667579419.

The spelling of 1809010368 in words is "one billion, eight hundred nine million, ten thousand, three hundred sixty-eight".