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12460542010 = 257892238969
BaseRepresentation
bin10111001101011010…
…01100100000111010
31012011101201010012221
423212231030200322
5201004344321020
65420240354254
7620532600550
oct134655144072
935141633187
1012460542010
115314718704
1224b901598a
1312376b29a7
14862c61bd0
154cdde26aa
hex2e6b4c83a

12460542010 has 64 divisors (see below), whose sum is σ = 26040268800. Its totient is φ = 4204772352.

The previous prime is 12460542007. The next prime is 12460542023. The reversal of 12460542010 is 1024506421.

It is a happy number.

12460542010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1384806 + ... + 1393774.

It is an arithmetic number, because the mean of its divisors is an integer number (406879200).

Almost surely, 212460542010 is an apocalyptic number.

12460542010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12460542010 is an abundant number, since it is smaller than the sum of its proper divisors (13579726790).

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

12460542010 is a wasteful number, since it uses less digits than its factorization.

12460542010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9295.

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 12460542010 in words is "twelve billion, four hundred sixty million, five hundred forty-two thousand, ten".

Divisors: 1 2 5 7 10 14 35 70 89 178 223 445 446 623 890 1115 1246 1561 2230 3115 3122 6230 7805 8969 15610 17938 19847 39694 44845 62783 89690 99235 125566 138929 198470 277858 313915 627830 694645 798241 1389290 1596482 2000087 3991205 4000174 5587687 7982410 10000435 11175374 14000609 20000870 27938435 28001218 55876870 70003045 140006090 178007743 356015486 890038715 1246054201 1780077430 2492108402 6230271005 12460542010