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12427951032 = 2332735968687
BaseRepresentation
bin10111001001100001…
…10111101110111000
31012002010101022210200
423210300313232320
5200423023413112
65413114042200
7616655561250
oct134460675670
935063338720
1012427951032
1152a8288612
1224aa119360
131230a115a3
1485c7ba960
154cb105cdc
hex2e4c37bb8

12427951032 has 96 divisors (see below), whose sum is σ = 38575180800. Its totient is φ = 3540900672.

The previous prime is 12427951009. The next prime is 12427951033. The reversal of 12427951032 is 23015972421.

12427951032 is a `hidden beast` number, since 1 + 2 + 42 + 79 + 510 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12427951033) 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 23 ways as a sum of consecutive naturals, for example, 146593 + ... + 215279.

It is an arithmetic number, because the mean of its divisors is an integer number (401824800).

Almost surely, 212427951032 is an apocalyptic number.

12427951032 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 12427951032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19287590400).

12427951032 is an abundant number, since it is smaller than the sum of its proper divisors (26147229768).

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

12427951032 is a wasteful number, since it uses less digits than its factorization.

12427951032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69065 (or 69058 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12427951032 in words is "twelve billion, four hundred twenty-seven million, nine hundred fifty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 359 504 718 1077 1436 2154 2513 2872 3231 4308 5026 6462 7539 8616 10052 12924 15078 20104 22617 25848 30156 45234 60312 68687 90468 137374 180936 206061 274748 412122 480809 549496 618183 824244 961618 1236366 1442427 1648488 1923236 2472732 2884854 3846472 4327281 4945464 5769708 8654562 11539416 17309124 24658633 34618248 49317266 73975899 98634532 147951798 172610431 197269064 221927697 295903596 345220862 443855394 517831293 591807192 690441724 887710788 1035662586 1380883448 1553493879 1775421576 2071325172 3106987758 4142650344 6213975516 12427951032