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12728325150 = 2335219496231
BaseRepresentation
bin10111101101010101…
…01101010000011110
31012212001120220122000
423312222231100132
5202031422401100
65503004103130
7630263656452
oct136652552036
935761526560
1012728325150
115441898092
122572834aa6
13127b010758
1488a64a662
154e768a900
hex2f6aad41e

12728325150 has 96 divisors (see below), whose sum is σ = 36919660800. Its totient is φ = 3215570400.

The previous prime is 12728325139. The next prime is 12728325157. The reversal of 12728325150 is 5152382721.

12728325150 is a `hidden beast` number, since 127 + 283 + 251 + 5 + 0 = 666.

It is a super-2 number, since 2×127283251502 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12728325157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222466 + ... + 273765.

It is an arithmetic number, because the mean of its divisors is an integer number (384579800).

Almost surely, 212728325150 is an apocalyptic number.

12728325150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12728325150 is an abundant number, since it is smaller than the sum of its proper divisors (24191335650).

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

12728325150 is a wasteful number, since it uses less digits than its factorization.

12728325150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496271 (or 496260 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12728325150 in words is "twelve billion, seven hundred twenty-eight million, three hundred twenty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 90 95 114 135 150 171 190 225 270 285 342 450 475 513 570 675 855 950 1026 1350 1425 1710 2565 2850 4275 5130 8550 12825 25650 496231 992462 1488693 2481155 2977386 4466079 4962310 7443465 8932158 9428389 12405775 13398237 14886930 18856778 22330395 24811550 26796474 28285167 37217325 44660790 47141945 56570334 66991185 74434650 84855501 94283890 111651975 133982370 141425835 169711002 223303950 235709725 254566503 282851670 334955925 424277505 471419450 509133006 669911850 707129175 848555010 1272832515 1414258350 2121387525 2545665030 4242775050 6364162575 12728325150