Search a number
-
+
12971245840 = 2457433131721
BaseRepresentation
bin11000001010010010…
…11000000100010000
31020110222200120011121
430011021120010100
5203031114331330
65543042452024
7636303525160
oct140511300420
936428616147
1012971245840
115556a25a93
122620064014
1312b9444ac7
148b0a025a0
1550db7217a
hex305258110

12971245840 has 160 divisors (see below), whose sum is σ = 35401234176. Its totient is φ = 4327464960.

The previous prime is 12971245799. The next prime is 12971245901. The reversal of 12971245840 is 4854217921.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 7536180 + ... + 7537900.

Almost surely, 212971245840 is an apocalyptic number.

12971245840 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 12971245840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17700617088).

12971245840 is an abundant number, since it is smaller than the sum of its proper divisors (22429988336).

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

12971245840 is a wasteful number, since it uses less digits than its factorization.

12971245840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 12971245840 in words is "twelve billion, nine hundred seventy-one million, two hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 313 344 430 560 602 626 688 860 1204 1252 1505 1565 1720 1721 2191 2408 2504 3010 3130 3440 3442 4382 4816 5008 6020 6260 6884 8605 8764 10955 12040 12047 12520 13459 13768 17210 17528 21910 24080 24094 25040 26918 27536 34420 35056 43820 48188 53836 60235 67295 68840 74003 87640 94213 96376 107672 120470 134590 137680 148006 175280 188426 192752 215344 240940 269180 296012 370015 376852 471065 481880 518021 538360 538673 592024 740030 753704 942130 963760 1036042 1076720 1077346 1184048 1480060 1507408 1884260 2072084 2154692 2590105 2693365 2960120 3768520 3770711 4144168 4309384 5180210 5386730 5920240 7537040 7541422 8288336 8618768 10360420 10773460 15082844 18853555 20720840 21546920 23162939 30165688 37707110 41441680 43093840 46325878 60331376 75414220 92651756 115814695 150828440 162140573 185303512 231629390 301656880 324281146 370607024 463258780 648562292 810702865 926517560 1297124584 1621405730 1853035120 2594249168 3242811460 6485622920 12971245840