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379344609280 = 213573133167
BaseRepresentation
bin1011000010100101011…
…00110110000000000000
31100021011011210210200201
411201102230312000000
522203344204444110
6450133555254544
736256340656000
oct5412254660000
91307134723621
10379344609280
1113697416265a
12616298aa454
1329a06242b60
1414508c36000
159d0336cb3a
hex5852b36000

379344609280 has 896 divisors, whose sum is σ = 1197820108800. Its totient is φ = 114449448960.

The previous prime is 379344609271. The next prime is 379344609349. The reversal of 379344609280 is 82906443973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5661859807 + ... + 5661859873.

It is an arithmetic number, because the mean of its divisors is an integer number (1336852800).

Almost surely, 2379344609280 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 379344609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598910054400).

379344609280 is an abundant number, since it is smaller than the sum of its proper divisors (818475499520).

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

379344609280 is an equidigital number, since it uses as much as digits as its factorization.

379344609280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 55.

The spelling of 379344609280 in words is "three hundred seventy-nine billion, three hundred forty-four million, six hundred nine thousand, two hundred eighty".