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12709727106 = 2337431132833
BaseRepresentation
bin10111101011000111…
…10000101110000010
31012210202121000220120
423311203300232002
5202012142231411
65501101321110
7626646616656
oct136543605602
935722530816
1012709727106
1154323450aa
122568566196
1312771cb4ab
14887da8a66
154e5c15106
hex2f58f0b82

12709727106 has 32 divisors (see below), whose sum is σ = 26167235328. Its totient is φ = 4112478720.

The previous prime is 12709727101. The next prime is 12709727117. The reversal of 12709727106 is 60172790721.

12709727106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127097271062 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12709727101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29266 + ... + 162098.

It is an arithmetic number, because the mean of its divisors is an integer number (817726104).

Almost surely, 212709727106 is an apocalyptic number.

12709727106 is an abundant number, since it is smaller than the sum of its proper divisors (13457508222).

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

12709727106 is a wasteful number, since it uses less digits than its factorization.

12709727106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133306.

The product of its (nonzero) digits is 74088, while the sum is 42.

The spelling of 12709727106 in words is "twelve billion, seven hundred nine million, seven hundred twenty-seven thousand, one hundred six".

Divisors: 1 2 3 6 37 74 111 222 431 862 1293 2586 15947 31894 47841 95682 132833 265666 398499 796998 4914821 9829642 14744463 29488926 57251023 114502046 171753069 343506138 2118287851 4236575702 6354863553 12709727106