Search a number
-
+
385068783000 = 233531123618317
BaseRepresentation
bin1011001101001111110…
…00110101010110011000
31100210221002211221211210
411212213320311112120
522302110102024000
6452522000223120
736551235436056
oct5464770652630
91323832757753
10385068783000
11139341320040
126276690aaa0
132a409125bb5
14148cd1651d6
15a03ab6e350
hex59a7e35598

385068783000 has 512 divisors, whose sum is σ = 1390205306880. Its totient is φ = 87816960000.

The previous prime is 385068782983. The next prime is 385068783031. The reversal of 385068783000 is 387860583.

It is a happy number.

It is a super-2 number, since 2×3850687830002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46294842 + ... + 46303158.

It is an arithmetic number, because the mean of its divisors is an integer number (2715244740).

Almost surely, 2385068783000 is an apocalyptic number.

385068783000 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 385068783000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695102653440).

385068783000 is an abundant number, since it is smaller than the sum of its proper divisors (1005136523880).

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

385068783000 is a wasteful number, since it uses less digits than its factorization.

385068783000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8436 (or 8422 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 385068783000 in words is "three hundred eighty-five billion, sixty-eight million, seven hundred eighty-three thousand".