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1667706138 = 233716327067
BaseRepresentation
bin110001101100111…
…0010110100011010
311022020002020202000
41203121302310122
511403413044023
6433252421430
756220161010
oct14331626432
94266066660
101667706138
1178641633a
123a6617876
13207680487
1411b6ba8b0
159b625243
hex63672d1a

1667706138 has 64 divisors (see below), whose sum is σ = 4261585920. Its totient is φ = 473546736.

The previous prime is 1667706127. The next prime is 1667706193. The reversal of 1667706138 is 8316077661.

It is a junction number, because it is equal to n+sod(n) for n = 1667706093 and 1667706102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48081 + ... + 75147.

It is an arithmetic number, because the mean of its divisors is an integer number (66587280).

Almost surely, 21667706138 is an apocalyptic number.

1667706138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1667706138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130792960).

1667706138 is an abundant number, since it is smaller than the sum of its proper divisors (2593879782).

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

1667706138 is a wasteful number, since it uses less digits than its factorization.

1667706138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27248 (or 27242 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1667706138 is about 40837.5579338432. The cubic root of 1667706138 is about 1185.8775361798.

The spelling of 1667706138 in words is "one billion, six hundred sixty-seven million, seven hundred six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 163 189 326 378 489 978 1141 1467 2282 2934 3423 4401 6846 8802 10269 20538 27067 30807 54134 61614 81201 162402 189469 243603 378938 487206 568407 730809 1136814 1461618 1705221 3410442 4411921 5115663 8823842 10231326 13235763 26471526 30883447 39707289 61766894 79414578 92650341 119121867 185300682 238243734 277951023 555902046 833853069 1667706138