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12723135320 = 2357319111609
BaseRepresentation
bin10111101100101101…
…11010001101011000
31012211200211020112002
423312112322031120
5202024110312240
65502300540132
7630201602660
oct136626721530
935750736462
1012723135320
115439972975
122570b51648
131279c1444c
14889a991a0
154e6eb2d15
hex2f65ba358

12723135320 has 128 divisors (see below), whose sum is σ = 33830092800. Its totient is φ = 4214246400.

The previous prime is 12723135301. The next prime is 12723135343. The reversal of 12723135320 is 2353132721.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7906676 + ... + 7908284.

It is an arithmetic number, because the mean of its divisors is an integer number (264297600).

Almost surely, 212723135320 is an apocalyptic number.

12723135320 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 12723135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16915046400).

12723135320 is an abundant number, since it is smaller than the sum of its proper divisors (21106957480).

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

12723135320 is a wasteful number, since it uses less digits than its factorization.

12723135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The spelling of 12723135320 in words is "twelve billion, seven hundred twenty-three million, one hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 911 1085 1240 1609 1736 1822 2170 3218 3644 4340 4555 6377 6436 7288 8045 8680 9110 11263 12754 12872 16090 18220 22526 25508 28241 31885 32180 36440 45052 49879 51016 56315 56482 63770 64360 90104 99758 112630 112964 127540 141205 197687 199516 225260 225928 249395 255080 282410 349153 395374 399032 450520 498790 564820 698306 790748 988435 997580 1129640 1396612 1465799 1581496 1745765 1976870 1995160 2793224 2931598 3491530 3953740 5863196 6983060 7328995 7907480 10260593 11726392 13966120 14657990 20521186 29315980 41042372 45439769 51302965 58631960 82084744 90879538 102605930 181759076 205211860 227198845 318078383 363518152 410423720 454397690 636156766 908795380 1272313532 1590391915 1817590760 2544627064 3180783830 6361567660 12723135320