Search a number
-
+
126455906305 = 540964196469
BaseRepresentation
bin111010111000101011…
…1000000000000000001
3110002101221002122001101
41311301113000000001
54032440203000210
6134032032534401
712064460316451
oct1656127000001
9402357078041
10126455906305
11496a2076083
12206119b1401
13bc0386a281
14619890dd61
153451b46a3a
hex1d715c0001

126455906305 has 16 divisors (see below), whose sum is σ = 152357000400. Its totient is φ = 100758896640.

The previous prime is 126455906299. The next prime is 126455906347. The reversal of 126455906305 is 503609554621.

It can be written as a sum of positive squares in 8 ways, for example, as 7794947521 + 118660958784 = 88289^2 + 344472^2 .

It is not a de Polignac number, because 126455906305 - 27 = 126455906177 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1262611 + ... + 1359079.

It is an arithmetic number, because the mean of its divisors is an integer number (9522312525).

Almost surely, 2126455906305 is an apocalyptic number.

It is an amenable number.

126455906305 is a deficient number, since it is larger than the sum of its proper divisors (25901094095).

126455906305 is an equidigital number, since it uses as much as digits as its factorization.

126455906305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97524.

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 126455906305 in words is "one hundred twenty-six billion, four hundred fifty-five million, nine hundred six thousand, three hundred five".

Divisors: 1 5 409 641 2045 3205 96469 262169 482345 1310845 39455821 61836629 197279105 309183145 25291181261 126455906305