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12606557085 = 325299660197
BaseRepresentation
bin10111011110110100…
…01100101110011101
31012112120110110020200
423233122030232131
5201304234311320
65442534134113
7624254652513
oct135732145635
935476413220
1012606557085
11538a088a21
122539ab1339
13125ba17b45
148783d04b3
154dbb36290
hex2ef68cb9d

12606557085 has 24 divisors (see below), whose sum is σ = 22604863320. Its totient is φ = 6491651712.

The previous prime is 12606557063. The next prime is 12606557087. The reversal of 12606557085 is 58075560621.

12606557085 is a `hidden beast` number, since 12 + 6 + 0 + 6 + 557 + 0 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2125302201 + 10481254884 = 46101^2 + 102378^2 .

It is not a de Polignac number, because 12606557085 - 212 = 12606552989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12606557085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12606557087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4828794 + ... + 4831403.

It is an arithmetic number, because the mean of its divisors is an integer number (941869305).

Almost surely, 212606557085 is an apocalyptic number.

12606557085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12606557085 is a deficient number, since it is larger than the sum of its proper divisors (9998306235).

12606557085 is a wasteful number, since it uses less digits than its factorization.

12606557085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9660237 (or 9660234 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 12606557085 in words is "twelve billion, six hundred six million, five hundred fifty-seven thousand, eighty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 9660197 28980591 48300985 86941773 144902955 280145713 434708865 840437139 1400728565 2521311417 4202185695 12606557085