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12744377881 = 79214292
BaseRepresentation
bin10111101111001111…
…11100011000011001
31012220011210110211121
423313213330120121
5202100030043011
65504340125241
7630550265434
oct136747743031
935804713747
1012744377881
11544a961804
122578096821
131281441301
1488c82881b
154e8cabe71
hex2f79fc619

12744377881 has 9 divisors (see below), whose sum is σ = 12916780191. Its totient is φ = 12574251144.

The previous prime is 12744377869. The next prime is 12744377897. The reversal of 12744377881 is 18877344721.

The square root of 12744377881 is 112891.

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., 859017481 + 11885360400 = 29309^2 + 109020^2 .

It is not a de Polignac number, because 12744377881 - 27 = 12744377753 is a prime.

It is a super-2 number, since 2×127443778812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12744377801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8917675 + ... + 8919103.

It is an arithmetic number, because the mean of its divisors is an integer number (1435197799).

Almost surely, 212744377881 is an apocalyptic number.

12744377881 is the 112891-st square number.

12744377881 is the 56446-th centered octagonal number.

It is an amenable number.

12744377881 is a deficient number, since it is larger than the sum of its proper divisors (172402310).

12744377881 is an frugal number, since it uses more digits than its factorization.

12744377881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 1508 counting only the distinct ones).

The product of its digits is 2107392, while the sum is 52.

It can be divided in two parts, 12744 and 377881, that added together give a 8-th power (390625 = 58).

The spelling of 12744377881 in words is "twelve billion, seven hundred forty-four million, three hundred seventy-seven thousand, eight hundred eighty-one".

Divisors: 1 79 1429 6241 112891 2042041 8918389 161321239 12744377881