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395666640000 = 2733541931311
BaseRepresentation
bin1011100000111111001…
…00011100110010000000
31101211021200120212121000
411300133210130302000
522440311124440000
6501433341132000
740404662643252
oct5603744346200
91354250525530
10395666640000
1114288a559945
1264823b5a000
132b40793b6b8
1415216873cd2
15a45b275000
hex5c1f91cc80

395666640000 has 1280 divisors, whose sum is σ = 1590690816000. Its totient is φ = 96422400000.

The previous prime is 395666639971. The next prime is 395666640041. The reversal of 395666640000 is 46666593.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1272239845 + ... + 1272240155.

It is an arithmetic number, because the mean of its divisors is an integer number (1242727200).

Almost surely, 2395666640000 is an apocalyptic number.

395666640000 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 395666640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795345408000).

395666640000 is an abundant number, since it is smaller than the sum of its proper divisors (1195024176000).

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

395666640000 is a wasteful number, since it uses less digits than its factorization.

395666640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 395666640000 in words is "three hundred ninety-five billion, six hundred sixty-six million, six hundred forty thousand".