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126431671307055 = 35193114310319333
BaseRepresentation
bin11100101111110100101010…
…110110110100101100101111
3121120122202020120001001110220
4130233310222312310230233
5113032424030323311210
61124521524042102423
735426246451234462
oct3457645266645457
9546582216031426
10126431671307055
1137315409427794
121221b37aaaaa13
1355715bc80137a
14233147b4032d9
15e93ba06e7c70
hex72fd2adb4b2f

126431671307055 has 32 divisors (see below), whose sum is σ = 219806504970240. Its totient is φ = 61820579514240.

The previous prime is 126431671307041. The next prime is 126431671307083. The reversal of 126431671307055 is 550703176134621.

It is not a de Polignac number, because 126431671307055 - 28 = 126431671306799 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126431671306989 and 126431671307007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7155150832 + ... + 7155168501.

It is an arithmetic number, because the mean of its divisors is an integer number (6868953280320).

Almost surely, 2126431671307055 is an apocalyptic number.

126431671307055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

126431671307055 is a deficient number, since it is larger than the sum of its proper divisors (93374833663185).

126431671307055 is a wasteful number, since it uses less digits than its factorization.

126431671307055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14310319391.

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 126431671307055 in words is "one hundred twenty-six trillion, four hundred thirty-one billion, six hundred seventy-one million, three hundred seven thousand, fifty-five".

Divisors: 1 3 5 15 19 31 57 93 95 155 285 465 589 1767 2945 8835 14310319333 42930957999 71551596665 214654789995 271896067327 443619899323 815688201981 1330859697969 1359480336635 2218099496615 4078441009905 6654298489845 8428778087137 25286334261411 42143890435685 126431671307055