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379726448640 = 211357211171971
BaseRepresentation
bin1011000011010010111…
…01011100100000000000
31100022010210022020211020
411201221131130200000
522210134432324030
6450235515345440
736301655362200
oct5415135344000
91308123266736
10379726448640
1113704a754180
1261715752280
1329a673962c6
1414543830400
159d26b45510
hex586975c800

379726448640 has 2304 divisors, whose sum is σ = 1742433638400. Its totient is φ = 69363302400.

The previous prime is 379726448611. The next prime is 379726448669. The reversal of 379726448640 is 46844627973.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (379726448611) and next prime (379726448669).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5348259805 + ... + 5348259875.

It is an arithmetic number, because the mean of its divisors is an integer number (756264600).

Almost surely, 2379726448640 is an apocalyptic number.

379726448640 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 379726448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871216819200).

379726448640 is an abundant number, since it is smaller than the sum of its proper divisors (1362707189760).

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

379726448640 is a wasteful number, since it uses less digits than its factorization.

379726448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 379726448640 in words is "three hundred seventy-nine billion, seven hundred twenty-six million, four hundred forty-eight thousand, six hundred forty".