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230824868676912 = 24341816611488667
BaseRepresentation
bin110100011110111100011010…
…010011011000010100110000
31010021021122022222021020110000
4310132330122103120110300
5220223313312340130122
62134531251503110000
766422355266046216
oct6436743223302460
91107248288236400
10230824868676912
116760330585a144
1221a7b4a55a2300
139ba48cb921223
1440dddaa096cb6
151ba444053c0ac
hexd1ef1a4d8530

230824868676912 has 200 divisors, whose sum is σ = 672781893095312. Its totient is φ = 76400720985600.

The previous prime is 230824868676887. The next prime is 230824868676923. The reversal of 230824868676912 is 219676868428032.

230824868676912 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 2 + 486 + 86 + 7 + 69 + 1 + 2 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 154310403 + ... + 155799069.

Almost surely, 2230824868676912 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 230824868676912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336390946547656).

230824868676912 is an abundant number, since it is smaller than the sum of its proper divisors (441957024418400).

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

230824868676912 is a wasteful number, since it uses less digits than its factorization.

230824868676912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489529 (or 1489514 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 230824868676912 in words is "two hundred thirty trillion, eight hundred twenty-four billion, eight hundred sixty-eight million, six hundred seventy-six thousand, nine hundred twelve".