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12728257074 = 23213197276113
BaseRepresentation
bin10111101101010100…
…11100101000110010
31012212001110110020200
423312222130220302
5202031413211244
65503002420030
7630263254131
oct136652345062
935761413220
1012728257074
115441850a25
122572801616
13127acb8780
1488a62d918
154e7675669
hex2f6a9ca32

12728257074 has 48 divisors (see below), whose sum is σ = 29850132312. Its totient is φ = 3896492544.

The previous prime is 12728257037. The next prime is 12728257079. The reversal of 12728257074 is 47075282721.

12728257074 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 8 + 2 + 570 + 74 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12375005049 + 353252025 = 111243^2 + 18795^2 .

It is not an unprimeable number, because it can be changed into a prime (12728257079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91959 + ... + 184154.

Almost surely, 212728257074 is an apocalyptic number.

12728257074 is an abundant number, since it is smaller than the sum of its proper divisors (17121875238).

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

12728257074 is a wasteful number, since it uses less digits than its factorization.

12728257074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276331 (or 276328 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 12728257074 in words is "twelve billion, seven hundred twenty-eight million, two hundred fifty-seven thousand, seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 197 234 394 591 1182 1773 2561 3546 5122 7683 15366 23049 46098 276113 552226 828339 1656678 2485017 3589469 4970034 7178938 10768407 21536814 32305221 54394261 64610442 108788522 163182783 326365566 489548349 707125393 979096698 1414250786 2121376179 4242752358 6364128537 12728257074