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12749119744 = 2870572
BaseRepresentation
bin10111101111110100…
…00010000100000000
31012220111201101110011
423313322002010000
5202102233312434
65505025514304
7630635505214
oct136772020400
935814641404
1012749119744
1154526003a9
1225797a2994
13128241174a
1488d300944
154e93e6e64
hex2f7e82100

12749119744 has 27 divisors (see below), whose sum is σ = 25452044877. Its totient is φ = 6373656576.

The previous prime is 12749119741. The next prime is 12749119753. The reversal of 12749119744 is 44791194721.

The square root of 12749119744 is 112912.

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., 12741894400 + 7225344 = 112880^2 + 2688^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12749119741) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1803064 + ... + 1810120.

Almost surely, 212749119744 is an apocalyptic number.

12749119744 is the 112912-nd square number.

It is an amenable number.

12749119744 is a deficient number, since it is larger than the sum of its proper divisors (12702925133).

12749119744 is an frugal number, since it uses more digits than its factorization.

12749119744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14130 (or 7059 counting only the distinct ones).

The product of its digits is 508032, while the sum is 49.

Multiplying 12749119744 by its sum of digits (49), we get a square (624706867456 = 7903842).

The spelling of 12749119744 in words is "twelve billion, seven hundred forty-nine million, one hundred nineteen thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 7057 14114 28228 56456 112912 225824 451648 903296 1806592 49801249 99602498 199204996 398409992 796819984 1593639968 3187279936 6374559872 12749119744