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867004939161 = 3430723372
BaseRepresentation
bin11001001110111011000…
…01010111101110011001
310001212220001202022210000
430213131201113232121
5103201111231023121
61502144020443213
7116432122246614
oct14473541275631
93055801668700
10867004939161
1130477075a279
12120046249509
13639b1a4b97a
142dd6b29d17b
15178459d7526
hexc9dd857b99

867004939161 has 45 divisors (see below), whose sum is σ = 1303255208079. Its totient is φ = 574410989376.

The previous prime is 867004939147. The next prime is 867004939169. The reversal of 867004939161 is 161939400768.

The square root of 867004939161 is 931131.

It is a perfect power (a square), and thus also a powerful number.

867004939161 is a `hidden beast` number, since 8 + 6 + 7 + 0 + 0 + 493 + 91 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 233796425625 + 633208513536 = 483525^2 + 795744^2 .

It is not a de Polignac number, because 867004939161 - 225 = 866971384729 is a prime.

It is a super-3 number, since 3×8670049391613 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 867004939098 and 867004939107.

It is not an unprimeable number, because it can be changed into a prime (867004939169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2572714785 + ... + 2572715121.

Almost surely, 2867004939161 is an apocalyptic number.

867004939161 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

867004939161 is the 931131-st square number.

867004939161 is the 465566-th centered octagonal number.

It is an amenable number.

867004939161 is a deficient number, since it is larger than the sum of its proper divisors (436250268918).

867004939161 is an frugal number, since it uses more digits than its factorization.

867004939161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 867004939161 in words is "eight hundred sixty-seven billion, four million, nine hundred thirty-nine thousand, one hundred sixty-one".

Divisors: 1 3 9 27 81 307 337 921 1011 2763 3033 8289 9099 24867 27297 94249 103459 113569 282747 310377 340707 848241 931131 1022121 2544723 2793393 3066363 7634169 8380179 9199089 31761913 34865683 95285739 104597049 285857217 313791147 857571651 941373441 2572714953 2824120323 10703764681 32111294043 96333882129 289001646387 867004939161