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12555369728 = 281110741669
BaseRepresentation
bin10111011000101101…
…11011110100000000
31012102000010212101122
423230112323310000
5201203133312403
65433505051412
7623063611316
oct135426736400
935360125348
1012555369728
1153631a7120
122524926b68
131251235175
148716a80b6
154d73c4838
hex2ec5bbd00

12555369728 has 72 divisors (see below), whose sum is σ = 27596207520. Its totient is φ = 5653514240.

The previous prime is 12555369721. The next prime is 12555369817. The reversal of 12555369728 is 82796355521.

12555369728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12555369728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12555369721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280478 + ... + 322146.

It is an arithmetic number, because the mean of its divisors is an integer number (383280660).

Almost surely, 212555369728 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 12555369728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13798103760).

12555369728 is an abundant number, since it is smaller than the sum of its proper divisors (15040837792).

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

12555369728 is a wasteful number, since it uses less digits than its factorization.

12555369728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41803 (or 41789 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 53.

It can be divided in two parts, 12555 and 369728, that added together give a palindrome (382283).

The spelling of 12555369728 in words is "twelve billion, five hundred fifty-five million, three hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 128 176 214 256 352 428 704 856 1177 1408 1712 2354 2816 3424 4708 6848 9416 13696 18832 27392 37664 41669 75328 83338 150656 166676 301312 333352 458359 666704 916718 1333408 1833436 2666816 3666872 4458583 5333632 7333744 8917166 10667264 14667488 17834332 29334976 35668664 49044413 58669952 71337328 98088826 117339904 142674656 196177652 285349312 392355304 570698624 784710608 1141397248 1569421216 3138842432 6277684864 12555369728