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12628814884 = 22722323492
BaseRepresentation
bin10111100001011110…
…00110110000100100
31012121010100021012121
423300233012300210
5201330434034014
65445051155324
7624645104200
oct136057066044
935533307177
1012628814884
1153a07005a4
122545445b44
13126350bb3a
1487b345b00
154dda81124
hex2f0bc6c24

12628814884 has 81 divisors (see below), whose sum is σ = 26952251697. Its totient is φ = 5162195808.

The previous prime is 12628814879. The next prime is 12628814893. The reversal of 12628814884 is 48841882621.

The square root of 12628814884 is 112378.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9269453284 + 3359361600 = 96278^2 + 57960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36185542 + ... + 36185890.

Almost surely, 212628814884 is an apocalyptic number.

12628814884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12628814884 is the 112378-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12628814884

12628814884 is an abundant number, since it is smaller than the sum of its proper divisors (14323436813).

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

12628814884 is an equidigital number, since it uses as much as digits as its factorization.

12628814884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 381 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 52.

The spelling of 12628814884 in words is "twelve billion, six hundred twenty-eight million, eight hundred fourteen thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 349 529 644 698 1058 1127 1396 2116 2254 2443 3703 4508 4886 7406 8027 9772 14812 16054 17101 25921 32108 34202 51842 56189 68404 103684 112378 121801 184621 224756 243602 369242 393323 487204 738484 786646 852607 1292347 1573292 1705214 2584694 2801423 3410428 5169388 5602846 5968249 9046429 11205692 11936498 18092858 19609961 23872996 36185716 39219922 64432729 78439844 128865458 137269727 257730916 274539454 451029103 549078908 902058206 1804116412 3157203721 6314407442 12628814884