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12165708044 = 2272234767857
BaseRepresentation
bin10110101010010000…
…11111100100001100
31011101211221000001102
423111020133210030
5144403410124134
65331105202232
7610322545400
oct132510374414
934354830042
1012165708044
115183252576
122436330378
1311bb5a3419
14835a35100
154b30a437e
hex2d521f90c

12165708044 has 144 divisors (see below), whose sum is σ = 26817702912. Its totient is φ = 4802611968.

The previous prime is 12165708031. The next prime is 12165708083. The reversal of 12165708044 is 44080756121.

It is a junction number, because it is equal to n+sod(n) for n = 12165707989 and 12165708007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14195264 + ... + 14196120.

It is an arithmetic number, because the mean of its divisors is an integer number (186234048).

Almost surely, 212165708044 is an apocalyptic number.

12165708044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12165708044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13408851456).

12165708044 is an abundant number, since it is smaller than the sum of its proper divisors (14651994868).

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

12165708044 is a wasteful number, since it uses less digits than its factorization.

12165708044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 12165708044 in words is "twelve billion, one hundred sixty-five million, seven hundred eight thousand, forty-four".

Divisors: 1 2 4 7 14 23 28 46 47 49 67 92 94 98 134 161 188 196 268 322 329 469 644 658 857 938 1081 1127 1316 1541 1714 1876 2162 2254 2303 3082 3149 3283 3428 4324 4508 4606 5999 6164 6298 6566 7567 9212 10787 11998 12596 13132 15134 19711 21574 22043 23996 30268 39422 40279 41993 43148 44086 52969 57419 72427 75509 78844 80558 83986 88172 105938 114838 137977 144854 151018 154301 161116 167972 211876 229676 275954 281953 289708 302036 308602 401933 506989 551908 563906 617204 803866 926417 965839 1013978 1127812 1320637 1607732 1852834 1931678 1973671 2027956 2641274 2698693 2813531 3548923 3705668 3863356 3947342 5282548 5397386 5627062 6484919 7097846 7894684 9244459 10794772 11254124 12969838 14195692 18488918 18890851 25939676 36977836 37781702 45394433 62069939 64711213 75563404 90788866 124139878 129422426 132235957 181577732 248279756 258844852 264471914 434489573 528943828 868979146 1737958292 3041427011 6082854022 12165708044