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12388357809 = 348321492
BaseRepresentation
bin10111000100110011…
…10101011010110001
31011222100212210010000
423202121311122301
5200332404422214
65405141300213
7615665206152
oct134231653261
934870783100
1012388357809
1152879a5643
122498a04669
13122575ac49
14857431929
154c78d4809
hex2e26756b1

12388357809 has 45 divisors (see below), whose sum is σ = 18858276283. Its totient is φ = 8104639248.

The previous prime is 12388357801. The next prime is 12388357841. The reversal of 12388357809 is 90875388321.

The square root of 12388357809 is 111303.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1451381409 + 10936976400 = 38097^2 + 104580^2 .

It is not a de Polignac number, because 12388357809 - 23 = 12388357801 is a prime.

It is a super-2 number, since 2×123883578092 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12388357801) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 83143267 + ... + 83143415.

Almost surely, 212388357809 is an apocalyptic number.

12388357809 is the 111303-rd square number.

12388357809 is the 55652-nd centered octagonal number.

It is an amenable number.

12388357809 is a deficient number, since it is larger than the sum of its proper divisors (6469918474).

12388357809 is an frugal number, since it uses more digits than its factorization.

12388357809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 12388357809 in words is "twelve billion, three hundred eighty-eight million, three hundred fifty-seven thousand, eight hundred nine".

Divisors: 1 3 9 27 81 83 149 249 447 747 1341 2241 4023 6723 6889 12069 12367 20667 22201 37101 62001 66603 111303 186003 199809 333909 558009 599427 1001727 1026461 1798281 1842683 3079383 5528049 9238149 16584147 27714447 49752441 83143341 149257323 152942689 458828067 1376484201 4129452603 12388357809