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385895236608 = 21032725771481
BaseRepresentation
bin1011001110110010010…
…01100000010000000000
31100220001200222011001200
411213121021200100000
522310303140032413
6453140002101200
736610562250600
oct5473111402000
91326050864050
10385895236608
11139725889952
126295764a800
132a50b40b7bb
141496ac18c00
15a0884be573
hex59d9260400

385895236608 has 396 divisors, whose sum is σ = 1299307940892. Its totient is φ = 109990379520.

The previous prime is 385895236591. The next prime is 385895236631. The reversal of 385895236608 is 806632598583.

It can be written as a sum of positive squares in 2 ways, for example, as 306614697984 + 79280538624 = 553728^2 + 281568^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 260563228 + ... + 260564708.

Almost surely, 2385895236608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385895236608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649653970446).

385895236608 is an abundant number, since it is smaller than the sum of its proper divisors (913412704284).

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

385895236608 is a wasteful number, since it uses less digits than its factorization.

385895236608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 385895236608 in words is "three hundred eighty-five billion, eight hundred ninety-five million, two hundred thirty-six thousand, six hundred eight".