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6682294263168 = 273271127763977
BaseRepresentation
bin110000100111101011111…
…0001101001110110000000
3212122211011120120022210100
41201033113301221312000
51333440314312410133
622113445325002400
71256531324026536
oct141172761516600
925584146508710
106682294263168
112146a439a4997
128bb0a69b3400
133961a3538c84
141915d37c6156
15b8c4d910e13
hex613d7c69d80

6682294263168 has 192 divisors, whose sum is σ = 19515403833120. Its totient is φ = 2194305146880.

The previous prime is 6682294263119. The next prime is 6682294263191. The reversal of 6682294263168 is 8613624922866.

It is a happy number.

6682294263168 is a `hidden beast` number, since 6 + 6 + 8 + 2 + 294 + 26 + 316 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 104416396 + ... + 104480372.

Almost surely, 26682294263168 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 6682294263168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9757701916560).

6682294263168 is an abundant number, since it is smaller than the sum of its proper divisors (12833109569952).

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

6682294263168 is a wasteful number, since it uses less digits than its factorization.

6682294263168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65345 (or 65330 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 6682294263168 in words is "six trillion, six hundred eighty-two billion, two hundred ninety-four million, two hundred sixty-three thousand, one hundred sixty-eight".