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12785061360 = 243553271089
BaseRepresentation
bin10111110100000110…
…01000110111110000
31020000000100102002010
423322003020313300
5202140433430420
65512352122520
7631553141241
oct137203106760
936000312063
1012785061360
115470919915
122589836440
1312899b6c86
14893db8cc8
154ec6464e0
hex2fa0c8df0

12785061360 has 40 divisors (see below), whose sum is σ = 39633690960. Its totient is φ = 3409349632.

The previous prime is 12785061349. The next prime is 12785061389. The reversal of 12785061360 is 6316058721.

12785061360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 26635305 + ... + 26635784.

It is an arithmetic number, because the mean of its divisors is an integer number (990842274).

Almost surely, 212785061360 is an apocalyptic number.

12785061360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12785061360 is an abundant number, since it is smaller than the sum of its proper divisors (26848629600).

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

12785061360 is a wasteful number, since it uses less digits than its factorization.

12785061360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53271105 (or 53271099 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 12785061360 in words is "twelve billion, seven hundred eighty-five million, sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 53271089 106542178 159813267 213084356 266355445 319626534 426168712 532710890 639253068 799066335 852337424 1065421780 1278506136 1598132670 2130843560 2557012272 3196265340 4261687120 6392530680 12785061360