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1204741807104 = 210311431018209
BaseRepresentation
bin10001100010000000001…
…101010001110000000000
311021011122112020212110210
4101202000031101300000
5124214302400311404
62321241205554120
7153016424253363
oct21420015216000
94234575225423
101204741807104
11424a23384a40
121755a1715940
13897b6ac5a24
144244a1ba0da
1521511140689
hex11880351c00

1204741807104 has 352 divisors, whose sum is σ = 3620387738880. Its totient is φ = 353009664000.

The previous prime is 1204741807079. The next prime is 1204741807187. The reversal of 1204741807104 is 4017081474021.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146754552 + ... + 146762760.

It is an arithmetic number, because the mean of its divisors is an integer number (10285192440).

Almost surely, 21204741807104 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 1204741807104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810193869440).

1204741807104 is an abundant number, since it is smaller than the sum of its proper divisors (2415645931776).

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

1204741807104 is a wasteful number, since it uses less digits than its factorization.

1204741807104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8387 (or 8369 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The spelling of 1204741807104 in words is "one trillion, two hundred four billion, seven hundred forty-one million, eight hundred seven thousand, one hundred four".