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380192541619968 = 283872111923312
BaseRepresentation
bin101011001110010000111100…
…1011000111011011100000000
31211212011001101220211100000000
41112130201321120323130000
5344313033311123314333
63424334013100000000
7143040001414434300
oct12634417130733400
91755131356740000
10380192541619968
1110016082a166520
1236783a40b30000
131341b00630b17c
1469c55bab11600
152de4a31a5b713
hex159c87963b700

380192541619968 has 5832 divisors, whose sum is σ = 1639482251621760. Its totient is φ = 86599657267200.

The previous prime is 380192541619907. The next prime is 380192541620011. The reversal of 380192541619968 is 869916145291083.

380192541619968 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 9 + 2 + 541 + 6 + 19 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (5832).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 380192541619896 and 380192541619905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 12264275536113 + ... + 12264275536143.

Almost surely, 2380192541619968 is an apocalyptic number.

380192541619968 is a gapful number since it is divisible by the number (38) 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 380192541619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819741125810880).

380192541619968 is an abundant number, since it is smaller than the sum of its proper divisors (1259289710001792).

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

380192541619968 is an equidigital number, since it uses as much as digits as its factorization.

380192541619968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 380192541619968 in words is "three hundred eighty trillion, one hundred ninety-two billion, five hundred forty-one million, six hundred nineteen thousand, nine hundred sixty-eight".