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12638071040 = 28571410499
BaseRepresentation
bin10111100010100100…
…11010100100000000
31012121202202112021012
423301102122210000
5201340321233130
65450021420052
7625116555110
oct136122324400
935552675235
1012638071040
1153a5952911
12254856a628
1312653ccc5a
1487c675040
154de7ad995
hex2f149a900

12638071040 has 72 divisors (see below), whose sum is σ = 34596744000. Its totient is φ = 4333049856.

The previous prime is 12638071021. The next prime is 12638071067. The reversal of 12638071040 is 4017083621.

It is a super-2 number, since 2×126380710402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12638070988 and 12638071006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696290 + ... + 714209.

Almost surely, 212638071040 is an apocalyptic number.

12638071040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12638071040 is an abundant number, since it is smaller than the sum of its proper divisors (21958672960).

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

12638071040 is an equidigital number, since it uses as much as digits as its factorization.

12638071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410527 (or 1410513 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 12638071040 in words is "twelve billion, six hundred thirty-eight million, seventy-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 1410499 2820998 5641996 7052495 9873493 11283992 14104990 19746986 22567984 28209980 39493972 45135968 49367465 56419960 78987944 90271936 98734930 112839920 157975888 180543872 197469860 225679840 315951776 361087744 394939720 451359680 631903552 789879440 902719360 1263807104 1579758880 1805438720 2527614208 3159517760 6319035520 12638071040