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126556832753 = 13142725912633
BaseRepresentation
bin111010111011101100…
…0000000001111110001
3110002122222000020002222
41311313120000033301
54033142022122003
6134050040050425
712100124220611
oct1656730001761
9402588006088
10126556832753
114974403a66a
122063b763a15
13bc1b746670
1461a80a2a41
15345a930c38
hex1d776003f1

126556832753 has 16 divisors (see below), whose sum is σ = 136491941376. Its totient is φ = 116650450560.

The previous prime is 126556832713. The next prime is 126556832761. The reversal of 126556832753 is 357238655621.

It is a cyclic number.

It is not a de Polignac number, because 126556832753 - 216 = 126556767217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 126556832695 and 126556832704.

It is not an unprimeable number, because it can be changed into a prime (126556832713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48064325 + ... + 48066957.

It is an arithmetic number, because the mean of its divisors is an integer number (8530746336).

Almost surely, 2126556832753 is an apocalyptic number.

126556832753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

126556832753 is a deficient number, since it is larger than the sum of its proper divisors (9935108623).

126556832753 is a wasteful number, since it uses less digits than its factorization.

126556832753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664.

The product of its digits is 9072000, while the sum is 53.

The spelling of 126556832753 in words is "one hundred twenty-six billion, five hundred fifty-six million, eight hundred thirty-two thousand, seven hundred fifty-three".

Divisors: 1 13 1427 2591 2633 18551 33683 34229 3697357 3757291 6822103 48065641 48844783 88687339 9735140981 126556832753