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12424295325 = 35213711011777
BaseRepresentation
bin10111001001000101…
…11011001110011101
31012001212111121010010
423210202323032131
5200421104422300
65412503433433
7616612524231
oct134442731635
935055447103
1012424295325
1152a6210a72
1224a8a55879
131230031650
1485c1085c1
154cab32a50
hex2e48bb39d

12424295325 has 96 divisors (see below), whose sum is σ = 22668049152. Its totient is φ = 5967360000.

The previous prime is 12424295293. The next prime is 12424295329. The reversal of 12424295325 is 52359242421.

It is not a de Polignac number, because 12424295325 - 25 = 12424295293 is a prime.

It is a super-2 number, since 2×124242953252 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12424295329) 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 95 ways as a sum of consecutive naturals, for example, 6990837 + ... + 6992613.

It is an arithmetic number, because the mean of its divisors is an integer number (236125512).

Almost surely, 212424295325 is an apocalyptic number.

12424295325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12424295325 is a deficient number, since it is larger than the sum of its proper divisors (10243753827).

12424295325 is a wasteful number, since it uses less digits than its factorization.

12424295325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1970 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The spelling of 12424295325 in words is "twelve billion, four hundred twenty-four million, two hundred ninety-five thousand, three hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 71 75 101 195 213 303 325 355 505 923 975 1065 1313 1515 1775 1777 2525 2769 3939 4615 5325 5331 6565 7171 7575 8885 13845 19695 21513 23075 23101 26655 32825 35855 44425 69225 69303 93223 98475 107565 115505 126167 133275 179275 179477 279669 346515 378501 466115 537825 538431 577525 630835 897385 1398345 1640171 1732575 1892505 2330575 2333201 2692155 3154175 4486925 4920513 6991725 6999603 8200855 9462525 11666005 12742867 13460775 24602565 34998015 38228601 41004275 58330025 63714335 123012825 165657271 174990075 191143005 318571675 496971813 828286355 955715025 2484859065 4141431775 12424295325