Search a number
-
+
12727914496 = 21211261421
BaseRepresentation
bin10111101101010010…
…01001000000000000
31012212000211001022121
423312221021000000
5202031321230441
65502551214024
7630260326303
oct136651110000
935760731277
1012727914496
115441637600
122572677314
13127abc886b
1488a580b3a
154e7608dd1
hex2f6a49000

12727914496 has 156 divisors (see below), whose sum is σ = 28503140092. Its totient is φ = 5677056000.

The previous prime is 12727914469. The next prime is 12727914509. The reversal of 12727914496 is 69441972721.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 198246400 + 12529668096 = 14080^2 + 111936^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30232366 + ... + 30232786.

Almost surely, 212727914496 is an apocalyptic number.

12727914496 is a gapful number since it is divisible by the number (16) 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 12727914496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14251570046).

12727914496 is an abundant number, since it is smaller than the sum of its proper divisors (15775225596).

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

12727914496 is an equidigital number, since it uses as much as digits as its factorization.

12727914496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 495 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 52.

The spelling of 12727914496 in words is "twelve billion, seven hundred twenty-seven million, nine hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 121 122 128 176 242 244 256 352 421 484 488 512 671 704 842 968 976 1024 1342 1408 1684 1936 1952 2048 2684 2816 3368 3872 3904 4096 4631 5368 5632 6736 7381 7744 7808 9262 10736 11264 13472 14762 15488 15616 18524 21472 22528 25681 26944 29524 30976 31232 37048 42944 45056 50941 51362 53888 59048 61952 62464 74096 85888 101882 102724 107776 118096 123904 124928 148192 171776 203764 205448 215552 236192 247808 249856 282491 296384 343552 407528 410896 431104 472384 495616 564982 592768 687104 815056 821792 862208 944768 1129964 1185536 1374208 1630112 1643584 1724416 1889536 2259928 2371072 2748416 3107401 3260224 3287168 3779072 4519856 4742144 6214802 6520448 6574336 7558144 9039712 9484288 12429604 13040896 13148672 15116288 18079424 18968576 24859208 26081792 26297344 30232576 36158848 49718416 52163584 52594688 72317696 99436832 104327168 105189376 144635392 198873664 208654336 289270784 397747328 578541568 795494656 1157083136 1590989312 3181978624 6363957248 12727914496