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385341885720 = 23325111937971427
BaseRepresentation
bin1011001101110000010…
…10101000110100011000
31100211122010202000100100
411212320022220310120
522303140010320340
6453005033535400
736561062661651
oct5467012506430
91324563660310
10385341885720
111394714a3170
1262822274560
132a45089703c
1414917536528
15a054b18830
hex59b82a8d18

385341885720 has 768 divisors, whose sum is σ = 1493258457600. Its totient is φ = 85160263680.

The previous prime is 385341885697. The next prime is 385341885751. The reversal of 385341885720 is 27588143583.

385341885720 is a `hidden beast` number, since 3 + 8 + 53 + 4 + 18 + 8 + 572 + 0 = 666.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 270035647 + ... + 270037073.

It is an arithmetic number, because the mean of its divisors is an integer number (1944346950).

Almost surely, 2385341885720 is an apocalyptic number.

385341885720 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 385341885720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746629228800).

385341885720 is an abundant number, since it is smaller than the sum of its proper divisors (1107916571880).

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

385341885720 is a wasteful number, since it uses less digits than its factorization.

385341885720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 385341885720 in words is "three hundred eighty-five billion, three hundred forty-one million, eight hundred eighty-five thousand, seven hundred twenty".