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12168853844 = 227417731021
BaseRepresentation
bin10110101010101000…
…11111100101010100
31011102001211211021112
423111110133211110
5144410211310334
65331300434152
7610361360000
oct132524374524
934361754245
1012168853844
115185001004
1224373a8958
1311bc135244
14836213700
154b34c64ce
hex2d551f954

12168853844 has 120 divisors (see below), whose sum is σ = 26691087528. Its totient is φ = 4836464640.

The previous prime is 12168853831. The next prime is 12168853859. The reversal of 12168853844 is 44835886121.

It can be written as a sum of positive squares in 4 ways, for example, as 4057690000 + 8111163844 = 63700^2 + 90062^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12168853792 and 12168853801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11918054 + ... + 11919074.

Almost surely, 212168853844 is an apocalyptic number.

12168853844 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 12168853844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13345543764).

12168853844 is an abundant number, since it is smaller than the sum of its proper divisors (14522233684).

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

12168853844 is a wasteful number, since it uses less digits than its factorization.

12168853844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1120 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 50.

The spelling of 12168853844 in words is "twelve billion, one hundred sixty-eight million, eight hundred fifty-three thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 73 98 119 146 196 238 292 343 476 511 686 833 1021 1022 1241 1372 1666 2042 2044 2401 2482 3332 3577 4084 4802 4964 5831 7147 7154 8687 9604 11662 14294 14308 17357 17374 23324 25039 28588 34714 34748 40817 50029 50078 60809 69428 74533 81634 100058 100156 121499 121618 149066 163268 175273 200116 242998 243236 298132 350203 350546 425663 485996 521731 700406 701092 850493 851326 1043462 1267061 1400812 1700986 1702652 2086924 2451421 2534122 2979641 3401972 3652117 4902842 5068244 5953451 5959282 7304234 8869427 9805684 11906902 11918564 14608468 17738854 23813804 25564819 35477708 41674157 51129638 62085989 83348314 102259276 124171978 166696628 178953733 248343956 357907466 434601923 715814932 869203846 1738407692 3042213461 6084426922 12168853844