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12490009240 = 2352315978501
BaseRepresentation
bin10111010000111011…
…00110101010011000
31012020110011012122211
423220131212222120
5201034420243430
65423212124504
7621341220052
oct135035465230
935213135584
1012490009240
11532a314895
122506a66734
13124082c317
14866b328d2
154d17b372a
hex2e8766a98

12490009240 has 64 divisors (see below), whose sum is σ = 29346183360. Its totient is φ = 4775232000.

The previous prime is 12490009199. The next prime is 12490009253. The reversal of 12490009240 is 4290009421.

It is a happy number.

12490009240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 1464990 + ... + 1473490.

It is an arithmetic number, because the mean of its divisors is an integer number (458534115).

Almost surely, 212490009240 is an apocalyptic number.

12490009240 is a gapful number since it is divisible by the number (10) 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 12490009240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14673091680).

12490009240 is an abundant number, since it is smaller than the sum of its proper divisors (16856174120).

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

12490009240 is a wasteful number, since it uses less digits than its factorization.

12490009240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10132 (or 10128 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 12490009240 in words is "twelve billion, four hundred ninety million, nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1597 3194 6388 7985 8501 12776 15970 17002 31940 34004 36731 42505 63880 68008 73462 85010 146924 170020 183655 195523 293848 340040 367310 391046 734620 782092 977615 1469240 1564184 1955230 3910460 7820920 13576097 27152194 54304388 67880485 108608776 135760970 271521940 312250231 543043880 624500462 1249000924 1561251155 2498001848 3122502310 6245004620 12490009240