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12077246240 = 255383197083
BaseRepresentation
bin10110011111101110…
…00010011100100000
31011011200110200021022
423033313002130200
5144213233334430
65314225145012
7605166620303
oct131767023440
934150420238
1012077246240
115138321944
12241078b168
1311a616c667
14827da8b3a
154aa42d4e5
hex2cfdc2720

12077246240 has 48 divisors (see below), whose sum is σ = 28607136768. Its totient is φ = 4818260736.

The previous prime is 12077246219. The next prime is 12077246261. The reversal of 12077246240 is 4264277021.

12077246240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12077246219) and next prime (12077246261).

It is a self number, because there is not a number n which added to its sum of digits gives 12077246240.

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 7 ways as a sum of consecutive naturals, for example, 37262 + ... + 159821.

It is an arithmetic number, because the mean of its divisors is an integer number (595982016).

Almost surely, 212077246240 is an apocalyptic number.

12077246240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12077246240 is an abundant number, since it is smaller than the sum of its proper divisors (16529890528).

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

12077246240 is a wasteful number, since it uses less digits than its factorization.

12077246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197481 (or 197473 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The spelling of 12077246240 in words is "twelve billion, seventy-seven million, two hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 383 766 1532 1915 3064 3830 6128 7660 12256 15320 30640 61280 197083 394166 788332 985415 1576664 1970830 3153328 3941660 6306656 7883320 15766640 31533280 75482789 150965578 301931156 377413945 603862312 754827890 1207724624 1509655780 2415449248 3019311560 6038623120 12077246240