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12734158240 = 255617312893
BaseRepresentation
bin10111101110000001…
…11101010110100000
31012212110120021010101
423313000331112200
5202034421030430
65503333112144
7630364362526
oct136700752640
935773507111
1012734158240
115445111621
122574788654
13127c2a379b
1488b328316
154e7e3ddca
hex2f703d5a0

12734158240 has 48 divisors (see below), whose sum is σ = 30091656168. Its totient is φ = 5092443136.

The previous prime is 12734158183. The next prime is 12734158247. The reversal of 12734158240 is 4285143721.

12734158240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6691894416 + 6042263824 = 81804^2 + 77732^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12734158240.

It is not an unprimeable number, because it can be changed into a prime (12734158247) 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, 981234 + ... + 994126.

Almost surely, 212734158240 is an apocalyptic number.

12734158240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12734158240 is an abundant number, since it is smaller than the sum of its proper divisors (17357497928).

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

12734158240 is a wasteful number, since it uses less digits than its factorization.

12734158240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19081 (or 19073 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

It can be divided in two parts, 127341 and 58240, that added together give a palindrome (185581).

The spelling of 12734158240 in words is "twelve billion, seven hundred thirty-four million, one hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 6173 12346 12893 24692 25786 30865 49384 51572 61730 64465 98768 103144 123460 128930 197536 206288 246920 257860 412576 493840 515720 987680 1031440 2062880 79588489 159176978 318353956 397942445 636707912 795884890 1273415824 1591769780 2546831648 3183539560 6367079120 12734158240