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12458055140 = 2252297271181
BaseRepresentation
bin10111001101000111…
…01101010111100100
31012011020000202212122
423212203231113210
5201003230231030
65420111205112
7620502502316
oct134643552744
935136022778
1012458055140
11531327a243
1224b8216798
131237021a7b
148627b57b6
154cdaa08e5
hex2e68ed5e4

12458055140 has 24 divisors (see below), whose sum is σ = 26173401912. Its totient is φ = 4981034240.

The previous prime is 12458055121. The next prime is 12458055149. The reversal of 12458055140 is 4155085421.

It can be written as a sum of positive squares in 4 ways, for example, as 2725048804 + 9733006336 = 52202^2 + 98656^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12458055140.

It is not an unprimeable number, because it can be changed into a prime (12458055149) 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 7 ways as a sum of consecutive naturals, for example, 89651 + ... + 181530.

It is an arithmetic number, because the mean of its divisors is an integer number (1090558413).

Almost surely, 212458055140 is an apocalyptic number.

12458055140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12458055140 is an abundant number, since it is smaller than the sum of its proper divisors (13715346772).

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

12458055140 is a wasteful number, since it uses less digits than its factorization.

12458055140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273487 (or 273485 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

The spelling of 12458055140 in words is "twelve billion, four hundred fifty-eight million, fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 2297 4594 9188 11485 22970 45940 271181 542362 1084724 1355905 2711810 5423620 622902757 1245805514 2491611028 3114513785 6229027570 12458055140