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244268813376 = 26337217414139
BaseRepresentation
bin1110001101111110001…
…1100100110001000000
3212100111111212102002000
43203133203210301000
513000230304012001
6304114320224000
723435131440600
oct3433743446100
9770444772060
10244268813376
1194659416985
123b41116b000
131a05a8c1ac3
14bb735b8c00
156549acea86
hex38df8e4c40

244268813376 has 672 divisors, whose sum is σ = 906276470400. Its totient is φ = 64068157440.

The previous prime is 244268813357. The next prime is 244268813387. The reversal of 244268813376 is 673318862442.

244268813376 is a `hidden beast` number, since 2 + 4 + 4 + 268 + 8 + 1 + 3 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59014315 + ... + 59018453.

It is an arithmetic number, because the mean of its divisors is an integer number (1348625700).

Almost surely, 2244268813376 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 244268813376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453138235200).

244268813376 is an abundant number, since it is smaller than the sum of its proper divisors (662007657024).

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

244268813376 is a wasteful number, since it uses less digits than its factorization.

244268813376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4209 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 244268813376 in words is "two hundred forty-four billion, two hundred sixty-eight million, eight hundred thirteen thousand, three hundred seventy-six".