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268395489684 = 2237715727917
BaseRepresentation
bin1111100111110110011…
…1100010100110010100
3221122202221110120000000
43321331213202212110
513344133221132214
6323144342451300
725251043010010
oct3717547424624
9848687416000
10268395489684
11a390a290993
1244025133b30
131c404211b2a
14cdc198b540
156eacc94809
hex3e7d9e2994

268395489684 has 192 divisors, whose sum is σ = 810220561920. Its totient is φ = 76193260416.

The previous prime is 268395489683. The next prime is 268395489689. The reversal of 268395489684 is 486984593862.

It is a happy number.

268395489684 is a `hidden beast` number, since 2 + 6 + 83 + 9 + 5 + 489 + 68 + 4 = 666.

It is a super-2 number, since 2×2683954896842 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268395489683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9600094 + ... + 9628010.

It is an arithmetic number, because the mean of its divisors is an integer number (4219898760).

Almost surely, 2268395489684 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 268395489684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405110280960).

268395489684 is an abundant number, since it is smaller than the sum of its proper divisors (541825072236).

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

268395489684 is a wasteful number, since it uses less digits than its factorization.

268395489684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28106 (or 28086 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 72.

The spelling of 268395489684 in words is "two hundred sixty-eight billion, three hundred ninety-five million, four hundred eighty-nine thousand, six hundred eighty-four".