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1230553791104 = 271131733791019
BaseRepresentation
bin10001111010000010101…
…110001011101010000000
311100122021102001111221012
4101322002232023222000
5130130133232303404
62341150354220052
7154622161433141
oct21720256135200
94318242044835
101230553791104
11434969597620
1217a5a5b84628
138c06b619a41
14437b832bac8
1522022255a6e
hex11e82b8ba80

1230553791104 has 256 divisors, whose sum is σ = 2808580608000. Its totient is φ = 531953049600.

The previous prime is 1230553791083. The next prime is 1230553791113. The reversal of 1230553791104 is 4011973550321.

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 31 ways as a sum of consecutive naturals, for example, 1207608707 + ... + 1207609725.

It is an arithmetic number, because the mean of its divisors is an integer number (10971018000).

Almost surely, 21230553791104 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 1230553791104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404290304000).

1230553791104 is an abundant number, since it is smaller than the sum of its proper divisors (1578026816896).

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

1230553791104 is a wasteful number, since it uses less digits than its factorization.

1230553791104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The spelling of 1230553791104 in words is "one trillion, two hundred thirty billion, five hundred fifty-three million, seven hundred ninety-one thousand, one hundred four".