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3389154437772 = 22325
BaseRepresentation
bin110001010100011001010…
…110001010101010001100
3110000000000000000000000000
4301110121112022222030
5421011442014002042
611112542301404300
7466600256254125
oct61243126125214
913000000000000
103389154437772
111097372363704
12468a10b69690
131b77992376ac
14ba07090b04c
155d25de0774c
hex3151958aa8c

3389154437772 has 78 divisors (see below), whose sum is σ = 8896530399148. Its totient is φ = 1129718145924.

The previous prime is 3389154437761. The next prime is 3389154437797. The reversal of 3389154437772 is 2777344519833.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3389154437772 is a `hidden beast` number, since 3 + 3 + 89 + 1 + 54 + 437 + 7 + 72 = 666.

It is an ABA number since it can be written as A⋅BA, here for A=12, B=9.

It is a super-2 number, since 2×33891544377722 (a number of 26 digits) contains 22 as substring.

Its product of digits (106686720) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 1129718145923 + 1129718145924 + 1129718145925.

Almost surely, 23389154437772 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 3389154437772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448265199574).

3389154437772 is an abundant number, since it is smaller than the sum of its proper divisors (5507375961376).

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

3389154437772 is an frugal number, since it uses more digits than its factorization.

3389154437772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 5 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 3389154437772 in words is "three trillion, three hundred eighty-nine billion, one hundred fifty-four million, four hundred thirty-seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 19683 26244 39366 59049 78732 118098 177147 236196 354294 531441 708588 1062882 1594323 2125764 3188646 4782969 6377292 9565938 14348907 19131876 28697814 43046721 57395628 86093442 129140163 172186884 258280326 387420489 516560652 774840978 1162261467 1549681956 2324522934 3486784401 4649045868 6973568802 10460353203 13947137604 20920706406 31381059609 41841412812 62762119218 94143178827 125524238436 188286357654 282429536481 376572715308 564859072962 847288609443 1129718145924 1694577218886 3389154437772