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2380839840288 = 25367135919009
BaseRepresentation
bin100010101001010101000…
…111001110101000100000
322102121100211012021000000
4202221111013032220200
5303001424444342123
65021424232300000
7334003300510110
oct42512507165040
98377324167000
102380839840288
11838788026648
1232550a541600
131436874b98b0
148333a107040
1541de7751b43
hex22a551cea20

2380839840288 has 672 divisors, whose sum is σ = 8796544444800. Its totient is φ = 617238724608.

The previous prime is 2380839840217. The next prime is 2380839840293. The reversal of 2380839840288 is 8820489380832.

2380839840288 is a `hidden beast` number, since 238 + 0 + 8 + 398 + 4 + 0 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 125238528 + ... + 125257536.

It is an arithmetic number, because the mean of its divisors is an integer number (13090095900).

Almost surely, 22380839840288 is an apocalyptic number.

2380839840288 is a gapful number since it is divisible by the number (28) 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 2380839840288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398272222400).

2380839840288 is an abundant number, since it is smaller than the sum of its proper divisors (6415704604512).

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

2380839840288 is a wasteful number, since it uses less digits than its factorization.

2380839840288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19116 (or 19093 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 2380839840288 in words is "two trillion, three hundred eighty billion, eight hundred thirty-nine million, eight hundred forty thousand, two hundred eighty-eight".