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244661664312 = 2332133157114767
BaseRepresentation
bin1110001111011011111…
…0001011101000111000
3212101111220002022020200
43203312332023220320
513002031341224222
6304221312322200
723450641555602
oct3436676135070
9771456068220
10244661664312
119484014967a
123b500843360
131a0c10cc390
14bbad83c172
15656e32eeac
hex38f6f8ba38

244661664312 has 192 divisors, whose sum is σ = 737955778560. Its totient is φ = 72719596800.

The previous prime is 244661664307. The next prime is 244661664371. The reversal of 244661664312 is 213466166442.

244661664312 is a `hidden beast` number, since 2 + 446 + 6 + 166 + 43 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16560753 + ... + 16575519.

It is an arithmetic number, because the mean of its divisors is an integer number (3843519680).

Almost surely, 2244661664312 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 244661664312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368977889280).

244661664312 is an abundant number, since it is smaller than the sum of its proper divisors (493294114248).

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

244661664312 is a wasteful number, since it uses less digits than its factorization.

244661664312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15394 (or 15387 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 244661664312 in words is "two hundred forty-four billion, six hundred sixty-one million, six hundred sixty-four thousand, three hundred twelve".