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12781380544 = 26438215657
BaseRepresentation
bin10111110011101010…
…00110001111000000
31012222202102101221121
423321311012033000
5202134013134134
65512141202024
7631506641062
oct137165061700
935882371847
1012781380544
115469835419
122588560314
131288cc878a
148936db732
154ec16aab4
hex2f9d463c0

12781380544 has 56 divisors (see below), whose sum is σ = 25989095088. Its totient is φ = 6233364480.

The previous prime is 12781380463. The next prime is 12781380551. The reversal of 12781380544 is 44508318721.

12781380544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127813805442 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 12781380544.

It is a congruent number.

It is an unprimeable number.

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, 2256564 + ... + 2262220.

Almost surely, 212781380544 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 12781380544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12994547544).

12781380544 is an abundant number, since it is smaller than the sum of its proper divisors (13207714544).

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

12781380544 is an equidigital number, since it uses as much as digits as its factorization.

12781380544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6533 (or 6523 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 12781380544 in words is "twelve billion, seven hundred eighty-one million, three hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 821 1376 1642 2752 3284 5657 6568 11314 13136 22628 26272 35303 45256 52544 70606 90512 141212 181024 243251 282424 362048 486502 564848 973004 1129696 1946008 2259392 3892016 4644397 7784032 9288794 15568064 18577588 37155176 74310352 148620704 199709071 297241408 399418142 798836284 1597672568 3195345136 6390690272 12781380544