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230374850340096 = 28347114432521
BaseRepresentation
bin110100011000011001010011…
…000111101010010100000000
31010012200121202102101002110000
4310120121103013222110000
5220143430143141340341
62133544424544240000
766345014360231310
oct6430312307522400
91105617672332400
10230374850340096
116744a475180000
1221a08233310000
139b713417c2aa7
1440c62b8d8d440
151b978a287a8b6
hexd186531ea500

230374850340096 has 1800 divisors, whose sum is σ = 884005048646720. Its totient is φ = 58422867148800.

The previous prime is 230374850339947. The next prime is 230374850340101. The reversal of 230374850340096 is 690043058473032.

230374850340096 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 7 + 4 + 8 + 503 + 40 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 91382327316 + ... + 91382329836.

Almost surely, 2230374850340096 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 230374850340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442002524323360).

230374850340096 is an abundant number, since it is smaller than the sum of its proper divisors (653630198306624).

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

230374850340096 is an frugal number, since it uses more digits than its factorization.

230374850340096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 230374850340096 in words is "two hundred thirty trillion, three hundred seventy-four billion, eight hundred fifty million, three hundred forty thousand, ninety-six".