Search a number
-
+
379841213280 = 25352326783269
BaseRepresentation
bin1011000011100000100…
…11001111001101100000
31100022102210020220022110
411201300103033031200
522210403322311110
6450255135235320
736304551020034
oct5416023171540
91308383226273
10379841213280
111370a950a591
1261748078b40
1329a850a9289
1414554b861c4
159d31c64a20
hex58704cf360

379841213280 has 576 divisors, whose sum is σ = 1289522384640. Its totient is φ = 93940543488.

The previous prime is 379841213273. The next prime is 379841213287. The reversal of 379841213280 is 82312148973.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (379841213273) and next prime (379841213287).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379841213287) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1412048986 + ... + 1412049254.

It is an arithmetic number, because the mean of its divisors is an integer number (2238754140).

Almost surely, 2379841213280 is an apocalyptic number.

379841213280 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 379841213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644761192320).

379841213280 is an abundant number, since it is smaller than the sum of its proper divisors (909681171360).

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

379841213280 is a wasteful number, since it uses less digits than its factorization.

379841213280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 379841213280 in words is "three hundred seventy-nine billion, eight hundred forty-one million, two hundred thirteen thousand, two hundred eighty".