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12525849072 = 243511292879
BaseRepresentation
bin10111010101001100…
…10100100111110000
31012022221121001200000
423222212110213300
5201123104132242
65430532230000
7622254650262
oct135246244760
935287531600
1012525849072
115348573890
122516a6b300
13124809a419
1486b7c1b32
154d49e2a4c
hex2ea9949f0

12525849072 has 120 divisors (see below), whose sum is σ = 39658295040. Its totient is φ = 3795698880.

The previous prime is 12525849071. The next prime is 12525849073. The reversal of 12525849072 is 27094852521.

12525849072 is a `hidden beast` number, since 12 + 52 + 584 + 9 + 0 + 7 + 2 = 666.

12525849072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12525849071) and next prime (12525849073).

It is a super-2 number, since 2×125258490722 (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 (12525849071) 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 23 ways as a sum of consecutive naturals, for example, 103672 + ... + 189207.

It is an arithmetic number, because the mean of its divisors is an integer number (330485792).

Almost surely, 212525849072 is an apocalyptic number.

12525849072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12525849072 is an abundant number, since it is smaller than the sum of its proper divisors (27132445968).

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

12525849072 is a wasteful number, since it uses less digits than its factorization.

12525849072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292913 (or 292895 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12525849072 in words is "twelve billion, five hundred twenty-five million, eight hundred forty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 792 891 972 1188 1296 1584 1782 1944 2376 2673 3564 3888 4752 5346 7128 10692 14256 21384 42768 292879 585758 878637 1171516 1757274 2343032 2635911 3221669 3514548 4686064 5271822 6443338 7029096 7907733 9665007 10543644 12886676 14058192 15815466 19330014 21087288 23723199 25773352 28995021 31630932 38660028 42174576 47446398 51546704 57990042 63261864 71169597 77320056 86985063 94892796 115980084 126523728 142339194 154640112 173970126 189785592 231960168 260955189 284678388 347940252 379571184 463920336 521910378 569356776 695880504 782865567 1043820756 1138713552 1391761008 1565731134 2087641512 3131462268 4175283024 6262924536 12525849072