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385353947616 = 253114319874271
BaseRepresentation
bin1011001101110001110…
…00101001100111100000
31100211122222102211011020
411212320320221213200
522303201102310431
6453010144245440
736561300336561
oct5467070514740
91324588384136
10385353947616
11139478291480
1262826310880
132a45322b261
1414918d96168
15a055bec696
hex59b8e299e0

385353947616 has 192 divisors, whose sum is σ = 1130009481216. Its totient is φ = 113974156800.

The previous prime is 385353947599. The next prime is 385353947633. The reversal of 385353947616 is 616749353583.

It is an interprime number because it is at equal distance from previous prime (385353947599) and next prime (385353947633).

It is a self number, because there is not a number n which added to its sum of digits gives 385353947616.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90223561 + ... + 90227831.

It is an arithmetic number, because the mean of its divisors is an integer number (5885466048).

Almost surely, 2385353947616 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 385353947616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565004740608).

385353947616 is an abundant number, since it is smaller than the sum of its proper divisors (744655533600).

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

385353947616 is a wasteful number, since it uses less digits than its factorization.

385353947616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325 (or 6317 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 60.

The spelling of 385353947616 in words is "three hundred eighty-five billion, three hundred fifty-three million, nine hundred forty-seven thousand, six hundred sixteen".