Search a number
-
+
12740015616 = 29310380527
BaseRepresentation
bin10111101110101110…
…10011011000000000
31012212212120211221020
423313113103120000
5202042420444431
65504102425440
7630465226446
oct136727233000
935785524836
1012740015616
115448452329
122576732280
1312805748a3
1488c010b96
154e86e9696
hex2f75d3600

12740015616 has 80 divisors (see below), whose sum is σ = 34270139904. Its totient is φ = 4205389824.

The previous prime is 12740015591. The next prime is 12740015623. The reversal of 12740015616 is 61651004721.

12740015616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 117945 + ... + 198471.

Almost surely, 212740015616 is an apocalyptic number.

12740015616 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 12740015616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17135069952).

12740015616 is an abundant number, since it is smaller than the sum of its proper divisors (21530124288).

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

12740015616 is an equidigital number, since it uses as much as digits as its factorization.

12740015616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80651 (or 80635 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 12740015616 in words is "twelve billion, seven hundred forty million, fifteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 512 618 768 824 1236 1536 1648 2472 3296 4944 6592 9888 13184 19776 26368 39552 52736 79104 80527 158208 161054 241581 322108 483162 644216 966324 1288432 1932648 2576864 3865296 5153728 7730592 8294281 10307456 15461184 16588562 20614912 24882843 30922368 33177124 41229824 49765686 61844736 66354248 99531372 123689472 132708496 199062744 265416992 398125488 530833984 796250976 1061667968 1592501952 2123335936 3185003904 4246671872 6370007808 12740015616