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12443422050 = 23252192363277
BaseRepresentation
bin10111001011010111…
…11000110101100010
31012010012111100001100
423211223320311202
5200441004001200
65414425415230
7620234225253
oct134553706542
935105440040
1012443422050
115305a95184
1224b333a516
131233c9a437
14860886b2a
154cc65ed00
hex2e5af8d62

12443422050 has 144 divisors (see below), whose sum is σ = 36721488960. Its totient is φ = 3006875520.

The previous prime is 12443422049. The next prime is 12443422093. The reversal of 12443422050 is 5022434421.

12443422050 is a `hidden beast` number, since 1 + 2 + 4 + 434 + 220 + 5 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 165012 + ... + 228288.

It is an arithmetic number, because the mean of its divisors is an integer number (255010340).

Almost surely, 212443422050 is an apocalyptic number.

12443422050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12443422050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360744480).

12443422050 is an abundant number, since it is smaller than the sum of its proper divisors (24278066910).

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

12443422050 is a wasteful number, since it uses less digits than its factorization.

12443422050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63337 (or 63329 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 12443422050 its reverse (5022434421), we get a palindrome (17465856471).

The spelling of 12443422050 in words is "twelve billion, four hundred forty-three million, four hundred twenty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 23 25 30 38 45 46 50 57 69 75 90 95 114 115 138 150 171 190 207 225 230 285 342 345 414 437 450 475 570 575 690 855 874 950 1035 1150 1311 1425 1710 1725 2070 2185 2622 2850 3450 3933 4275 4370 5175 6555 7866 8550 10350 10925 13110 19665 21850 32775 39330 63277 65550 98325 126554 189831 196650 316385 379662 569493 632770 949155 1138986 1202263 1455371 1581925 1898310 2404526 2847465 2910742 3163850 3606789 4366113 4745775 5694930 6011315 7213578 7276855 8732226 9491550 10820367 12022630 13098339 14237325 14553710 18033945 21640734 21830565 26196678 27652049 28474650 30056575 36067890 36384275 43661130 54101835 55304098 60113150 65491695 72768550 82956147 90169725 108203670 109152825 130983390 138260245 165912294 180339450 218305650 248868441 270509175 276520490 327458475 414780735 497736882 541018350 654916950 691301225 829561470 1244342205 1382602450 2073903675 2488684410 4147807350 6221711025 12443422050