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12423424500 = 2232532760761
BaseRepresentation
bin10111001000111111…
…00110100111110100
31012001210212100120100
423210133212213310
5200420344041000
65412433034100
7616602236334
oct134437464764
935053770510
1012423424500
1152a5776783
1224a86b5930
13122cab8176
1485bd5d0c4
154caa0ea00
hex2e47e69f4

12423424500 has 72 divisors (see below), whose sum is σ = 39191777352. Its totient is φ = 3312912000.

The previous prime is 12423424483. The next prime is 12423424523. The reversal of 12423424500 is 542432421.

12423424500 is a `hidden beast` number, since 124 + 2 + 34 + 2 + 4 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3726369936 + 8697054564 = 61044^2 + 93258^2 .

It is a super-3 number, since 3×124234245003 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1375881 + ... + 1384880.

It is an arithmetic number, because the mean of its divisors is an integer number (544330241).

Almost surely, 212423424500 is an apocalyptic number.

12423424500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12423424500 is an abundant number, since it is smaller than the sum of its proper divisors (26768352852).

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

12423424500 is a wasteful number, since it uses less digits than its factorization.

12423424500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760786 (or 2760771 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 12423424500 its reverse (542432421), we get a palindrome (12965856921).

The spelling of 12423424500 in words is "twelve billion, four hundred twenty-three million, four hundred twenty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 4500 2760761 5521522 8282283 11043044 13803805 16564566 24846849 27607610 33129132 41411415 49693698 55215220 69019025 82822830 99387396 124234245 138038050 165645660 207057075 248468490 276076100 345095125 414114150 496936980 621171225 690190250 828228300 1035285375 1242342450 1380380500 2070570750 2484684900 3105856125 4141141500 6211712250 12423424500