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12426173540 = 22511431518699
BaseRepresentation
bin10111001001010100…
…00101110001100100
31012002000001000112122
423210222011301210
5200422100023130
65413012005112
7616634506124
oct134452056144
935060030478
1012426173540
1152a7284110
1224a9600798
13123053b511
1485c476c84
154cada42e5
hex2e4a85c64

12426173540 has 96 divisors (see below), whose sum is σ = 29325542400. Its totient is φ = 4383792000.

The previous prime is 12426173533. The next prime is 12426173581. The reversal of 12426173540 is 4537162421.

It is a super-2 number, since 2×124261735402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12426173540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1424111 + ... + 1432809.

It is an arithmetic number, because the mean of its divisors is an integer number (305474400).

Almost surely, 212426173540 is an apocalyptic number.

12426173540 is a gapful number since it is divisible by the number (10) 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 12426173540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14662771200).

12426173540 is an abundant number, since it is smaller than the sum of its proper divisors (16899368860).

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

12426173540 is a wasteful number, since it uses less digits than its factorization.

12426173540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8913 (or 8911 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 12426173540 in words is "twelve billion, four hundred twenty-six million, one hundred seventy-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 151 172 215 220 302 430 473 604 755 860 946 1510 1661 1892 2365 3020 3322 4730 6493 6644 8305 8699 9460 12986 16610 17398 25972 32465 33220 34796 43495 64930 71423 86990 95689 129860 142846 173980 191378 285692 357115 374057 382756 478445 714230 748114 956890 1313549 1428460 1496228 1870285 1913780 2627098 3740570 4114627 5254196 6567745 7481140 8229254 13135490 14449039 16458508 20573135 26270980 28898078 41146270 56482607 57796156 72245195 82292540 112965214 144490390 225930428 282413035 288980780 564826070 621308677 1129652140 1242617354 2485234708 3106543385 6213086770 12426173540