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12897271400 = 2352137962791
BaseRepresentation
bin11000000001011110…
…01011111001101000
31020021211111021022112
430000233023321220
5202403200141100
65531441141452
7634414666226
oct140057137150
936254437275
1012897271400
11551919a992
1225bb32a888
1312a7014250
148a4c67b16
1550740db35
hex300bcbe68

12897271400 has 96 divisors (see below), whose sum is σ = 32702073600. Its totient is φ = 4701715200.

The previous prime is 12897271393. The next prime is 12897271427. The reversal of 12897271400 is 417279821.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174005 + ... + 236795.

It is an arithmetic number, because the mean of its divisors is an integer number (340646600).

Almost surely, 212897271400 is an apocalyptic number.

12897271400 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 12897271400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16351036800).

12897271400 is an abundant number, since it is smaller than the sum of its proper divisors (19804802200).

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

12897271400 is a wasteful number, since it uses less digits than its factorization.

12897271400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62899 (or 62890 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 12897271400 in words is "twelve billion, eight hundred ninety-seven million, two hundred seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 79 100 104 130 158 200 260 316 325 395 520 632 650 790 1027 1300 1580 1975 2054 2600 3160 3950 4108 5135 7900 8216 10270 15800 20540 25675 41080 51350 62791 102700 125582 205400 251164 313955 502328 627910 816283 1255820 1569775 1632566 2511640 3139550 3265132 4081415 4960489 6279100 6530264 8162830 9920978 12558200 16325660 19841956 20407075 24802445 32651320 39683912 40814150 49604890 64486357 81628300 99209780 124012225 128972714 163256600 198419560 248024450 257945428 322431785 496048900 515890856 644863570 992097800 1289727140 1612158925 2579454280 3224317850 6448635700 12897271400