Search a number
-
+
126438882696 = 23327751334049
BaseRepresentation
bin111010111000001011…
…0000011110110001000
3110002100202001202001100
41311300112003312020
54032421323221241
6134030224021400
712064162525110
oct1656026036610
9402322052040
10126438882696
11496934a8a85
1220608161860
13bc00189829
14619655c040
1534503d29b6
hex1d70583d88

126438882696 has 96 divisors (see below), whose sum is σ = 391880736000. Its totient is φ = 36077184000.

The previous prime is 126438882677. The next prime is 126438882727. The reversal of 126438882696 is 696288834621.

126438882696 is a `hidden beast` number, since 1 + 264 + 38 + 88 + 269 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 211480 + ... + 545528.

It is an arithmetic number, because the mean of its divisors is an integer number (4082091000).

Almost surely, 2126438882696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126438882696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195940368000).

126438882696 is an abundant number, since it is smaller than the sum of its proper divisors (265441853304).

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

126438882696 is a wasteful number, since it uses less digits than its factorization.

126438882696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334819 (or 334812 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 126438882696 in words is "one hundred twenty-six billion, four hundred thirty-eight million, eight hundred eighty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 751 1502 2253 3004 4506 5257 6008 6759 9012 10514 13518 15771 18024 21028 27036 31542 42056 47313 54072 63084 94626 126168 189252 334049 378504 668098 1002147 1336196 2004294 2338343 2672392 3006441 4008588 4676686 6012882 7015029 8017176 9353372 12025764 14030058 18706744 21045087 24051528 28060116 42090174 56120232 84180348 168360696 250870799 501741598 752612397 1003483196 1505224794 1756095593 2006966392 2257837191 3010449588 3512191186 4515674382 5268286779 6020899176 7024382372 9031348764 10536573558 14048764744 15804860337 18062697528 21073147116 31609720674 42146294232 63219441348 126438882696