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12731107840 = 295112931543
BaseRepresentation
bin10111101101101010…
…10100101000000000
31012212020211021202121
423312311110220000
5202033130422330
65503143454024
7630326426323
oct136665245000
935766737677
1012731107840
115443418830
122573757314
13127b776209
1488ab727ba
154e7a3a17a
hex2f6d54a00

12731107840 has 160 divisors (see below), whose sum is σ = 33435110016. Its totient is φ = 4610703360.

The previous prime is 12731107817. The next prime is 12731107843. The reversal of 12731107840 is 4870113721.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×127311078402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12731107796 and 12731107805.

It is not an unprimeable number, because it can be changed into a prime (12731107843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8250109 + ... + 8251651.

Almost surely, 212731107840 is an apocalyptic number.

12731107840 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 12731107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16717555008).

12731107840 is an abundant number, since it is smaller than the sum of its proper divisors (20704002176).

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

12731107840 is a wasteful number, since it uses less digits than its factorization.

12731107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The spelling of 12731107840 in words is "twelve billion, seven hundred thirty-one million, one hundred seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 293 320 352 440 512 586 640 704 880 1172 1280 1408 1465 1543 1760 2344 2560 2816 2930 3086 3223 3520 4688 5632 5860 6172 6446 7040 7715 9376 11720 12344 12892 14080 15430 16115 16973 18752 23440 24688 25784 28160 30860 32230 33946 37504 46880 49376 51568 61720 64460 67892 75008 84865 93760 98752 103136 123440 128920 135784 150016 169730 187520 197504 206272 246880 257840 271568 339460 375040 395008 412544 452099 493760 515680 543136 678920 750080 790016 825088 904198 987520 1031360 1086272 1357840 1650176 1808396 1975040 2062720 2172544 2260495 2715680 3616792 3950080 4125440 4345088 4520990 4973089 5431360 7233584 8250880 8690176 9041980 9946178 10862720 14467168 18083960 19892356 21725440 24865445 28934336 36167920 39784712 43450880 49730890 57868672 72335840 79569424 99461780 115737344 144671680 159138848 198923560 231474688 289343360 318277696 397847120 578686720 636555392 795694240 1157373440 1273110784 1591388480 2546221568 3182776960 6365553920 12731107840