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379924830000 = 2434541992357
BaseRepresentation
bin1011000011101010100…
…10001101011100110000
31100022122121121001220000
411201311102031130300
522211041224030000
6450311323350000
736306614525412
oct5416522153460
91308577531800
10379924830000
11137141731011
1261770082300
1329a99504921
1414561d109b2
159d39280000
hex587548d730

379924830000 has 500 divisors, whose sum is σ = 1381566819600. Its totient is φ = 100761408000.

The previous prime is 379924829989. The next prime is 379924830001. The reversal of 379924830000 is 38429973.

It is a happy number.

379924830000 is a `hidden beast` number, since 379 + 9 + 248 + 30 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (379924830001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 161188822 + ... + 161191178.

Almost surely, 2379924830000 is an apocalyptic number.

379924830000 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 379924830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690783409800).

379924830000 is an abundant number, since it is smaller than the sum of its proper divisors (1001641989600).

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

379924830000 is a wasteful number, since it uses less digits than its factorization.

379924830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 379924830000 in words is "three hundred seventy-nine billion, nine hundred twenty-four million, eight hundred thirty thousand".