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382227780000 = 2535411579133
BaseRepresentation
bin1011000111111101000…
…11010001000110100000
31100112121010000001101110
411203332203101012200
522230300302430000
6451332031503320
736420650344353
oct5437643210640
91315533001343
10382227780000
11138113687480
12620b3387b40
132a075670731
14146ddb0a29a
159e21535850
hex58fe8d11a0

382227780000 has 240 divisors, whose sum is σ = 1367766249696. Its totient is φ = 92661120000.

The previous prime is 382227779957. The next prime is 382227780007. The reversal of 382227780000 is 87722283.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (382227780007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 370434 + ... + 949566.

Almost surely, 2382227780000 is an apocalyptic number.

382227780000 is a gapful number since it is divisible by the number (30) 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 382227780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683883124848).

382227780000 is an abundant number, since it is smaller than the sum of its proper divisors (985538469696).

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

382227780000 is a wasteful number, since it uses less digits than its factorization.

382227780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579177 (or 579154 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 382227780000 in words is "three hundred eighty-two billion, two hundred twenty-seven million, seven hundred eighty thousand".