Search a number
-
+
126546456351 = 3718013345931
BaseRepresentation
bin111010111011011000…
…0011010111100011111
3110002122020111001100210
41311312300122330133
54033131343100401
6134045025423503
712066640062660
oct1656660327437
9402566431323
10126546456351
11497391a2727
122063819ab93
13bc19552693
1461a6961367
153459a814d6
hex1d76c1af1f

126546456351 has 16 divisors (see below), whose sum is σ = 192939822848. Its totient is φ = 72272088000.

The previous prime is 126546456329. The next prime is 126546456367. The reversal of 126546456351 is 153654645621.

It is a happy number.

It is not a de Polignac number, because 126546456351 - 211 = 126546454303 is a prime.

It is a super-2 number, since 2×1265464563512 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 126546456351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126546406351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1635145 + ... + 1710786.

It is an arithmetic number, because the mean of its divisors is an integer number (12058738928).

Almost surely, 2126546456351 is an apocalyptic number.

126546456351 is a deficient number, since it is larger than the sum of its proper divisors (66393366497).

126546456351 is a wasteful number, since it uses less digits than its factorization.

126546456351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347742.

The product of its digits is 2592000, while the sum is 48.

The spelling of 126546456351 in words is "one hundred twenty-six billion, five hundred forty-six million, four hundred fifty-six thousand, three hundred fifty-one".

Divisors: 1 3 7 21 1801 5403 12607 37821 3345931 10037793 23421517 70264551 6026021731 18078065193 42182152117 126546456351