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12571859472 = 2438924112211
BaseRepresentation
bin10111011010101011…
…10101101000010000
31012110011011122001220
423231111311220100
5201221344000342
65435254325040
7623354020344
oct135525655020
935404148056
1012571859472
11537153a107
12252a359780
131254789903
1487395b624
154d8a805ec
hex2ed575a10

12571859472 has 80 divisors (see below), whose sum is σ = 32981192640. Its totient is φ = 4126003200.

The previous prime is 12571859471. The next prime is 12571859473. The reversal of 12571859472 is 27495817521.

It is a happy number.

12571859472 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 (12571859471) and next prime (12571859473).

It is a super-2 number, since 2×125718594722 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12571859471) 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 15 ways as a sum of consecutive naturals, for example, 1023447 + ... + 1035657.

It is an arithmetic number, because the mean of its divisors is an integer number (412264908).

Almost surely, 212571859472 is an apocalyptic number.

12571859472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12571859472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16490596320).

12571859472 is an abundant number, since it is smaller than the sum of its proper divisors (20409333168).

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

12571859472 is a wasteful number, since it uses less digits than its factorization.

12571859472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12552 (or 12546 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 51.

The spelling of 12571859472 in words is "twelve billion, five hundred seventy-one million, eight hundred fifty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 241 267 356 482 534 712 723 964 1068 1424 1446 1928 2136 2892 3856 4272 5784 11568 12211 21449 24422 36633 42898 48844 64347 73266 85796 97688 128694 146532 171592 195376 257388 293064 343184 514776 586128 1029552 1086779 2173558 2942851 3260337 4347116 5885702 6520674 8694232 8828553 11771404 13041348 17388464 17657106 23542808 26082696 35314212 47085616 52165392 70628424 141256848 261913739 523827478 785741217 1047654956 1571482434 2095309912 3142964868 4190619824 6285929736 12571859472