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12897434448 = 24324315713267
BaseRepresentation
bin11000000001011111…
…10011101101010000
31020021211210112222100
430000233303231100
5202403220400243
65531444440400
7634416245463
oct140057635520
936254715870
1012897434448
1155192a1438
1225bb3a9100
1312a7070522
148a4cab2da
155074420d3
hex300bf3b50

12897434448 has 120 divisors (see below), whose sum is σ = 37172371808. Its totient is φ = 4172103936.

The previous prime is 12897434447. The next prime is 12897434449. The reversal of 12897434448 is 84443479821.

12897434448 is a `hidden beast` number, since 128 + 9 + 74 + 3 + 4 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (12897434447) and next prime (12897434449).

It is a junction number, because it is equal to n+sod(n) for n = 12897434394 and 12897434403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12897434443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 965511 + ... + 978777.

Almost surely, 212897434448 is an apocalyptic number.

12897434448 is a gapful number since it is divisible by the number (18) 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 12897434448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18586185904).

12897434448 is an abundant number, since it is smaller than the sum of its proper divisors (24274937360).

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

12897434448 is a wasteful number, since it uses less digits than its factorization.

12897434448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13481 (or 13472 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 12897434448 in words is "twelve billion, eight hundred ninety-seven million, four hundred thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 157 172 258 314 344 387 471 516 628 688 774 942 1032 1256 1413 1548 1884 2064 2512 2826 3096 3768 5652 6192 6751 7536 11304 13267 13502 20253 22608 26534 27004 39801 40506 53068 54008 60759 79602 81012 106136 108016 119403 121518 159204 162024 212272 238806 243036 318408 324048 477612 486072 570481 636816 955224 972144 1140962 1711443 1910448 2082919 2281924 3422886 4165838 4563848 5134329 6248757 6845772 8331676 9127696 10268658 12497514 13691544 16663352 18746271 20537316 24995028 27383088 33326704 37492542 41074632 49990056 74985084 82149264 89565517 99980112 149970168 179131034 268696551 299940336 358262068 537393102 716524136 806089653 1074786204 1433048272 1612179306 2149572408 3224358612 4299144816 6448717224 12897434448