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12964364288 = 215172372
BaseRepresentation
bin11000001001011110…
…01000000000000000
31020110111201221110022
430010233020000000
5203022334124123
65542235153012
7636161164301
oct140457100000
936414657408
1012964364288
115553055857
1226198a5768
1312b7ba5795
148adb307a8
1550d2631c8
hex304bc8000

12964364288 has 144 divisors (see below), whose sum is σ = 28307777715. Its totient is φ = 5935988736.

The previous prime is 12964364227. The next prime is 12964364293. The reversal of 12964364288 is 88246346921.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 12948619264 + 15745024 = 113792^2 + 3968^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=80512.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 350388206 + ... + 350388242.

Almost surely, 212964364288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12964364288

12964364288 is an abundant number, since it is smaller than the sum of its proper divisors (15343413427).

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

12964364288 is an frugal number, since it uses more digits than its factorization.

12964364288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 56 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 53.

The spelling of 12964364288 in words is "twelve billion, nine hundred sixty-four million, three hundred sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 256 272 289 296 512 544 578 592 629 1024 1088 1156 1184 1258 1369 2048 2176 2312 2368 2516 2738 4096 4352 4624 4736 5032 5476 8192 8704 9248 9472 10064 10693 10952 16384 17408 18496 18944 20128 21386 21904 23273 32768 34816 36992 37888 40256 42772 43808 46546 69632 73984 75776 80512 85544 87616 93092 139264 147968 151552 161024 171088 175232 186184 278528 295936 303104 322048 342176 350464 372368 395641 557056 591872 606208 644096 684352 700928 744736 791282 1183744 1212416 1288192 1368704 1401856 1489472 1582564 2367488 2576384 2737408 2803712 2978944 3165128 4734976 5152768 5474816 5607424 5957888 6330256 9469952 10305536 10949632 11214848 11915776 12660512 20611072 21899264 22429696 23831552 25321024 43798528 44859392 47663104 50642048 87597056 95326208 101284096 175194112 190652416 202568192 350388224 381304832 405136384 762609664 810272768 1620545536 3241091072 6482182144 12964364288