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379127494350 = 23752111953313
BaseRepresentation
bin1011000010001011100…
…00100111011011001110
31100020121001021020000000
411201011300213123032
522202423114304400
6450100241545130
736251063346603
oct5410560473316
91306531236000
10379127494350
1113687264aa30
12615890451a6
13299a0275697
14144c807a6aa
159cde282600
hex5845c276ce

379127494350 has 768 divisors, whose sum is σ = 1241341977600. Its totient is φ = 85156531200.

The previous prime is 379127494349. The next prime is 379127494357. The reversal of 379127494350 is 53494721973.

379127494350 is a `hidden beast` number, since 37 + 91 + 2 + 7 + 494 + 35 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379127494357) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 1211269794 + ... + 1211270106.

It is an arithmetic number, because the mean of its divisors is an integer number (1616330700).

Almost surely, 2379127494350 is an apocalyptic number.

379127494350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 379127494350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620670988800).

379127494350 is an abundant number, since it is smaller than the sum of its proper divisors (862214483250).

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

379127494350 is a wasteful number, since it uses less digits than its factorization.

379127494350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 379127494350 in words is "three hundred seventy-nine billion, one hundred twenty-seven million, four hundred ninety-four thousand, three hundred fifty".