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105425400224 = 256317976551
BaseRepresentation
bin110001000101111010…
…1111111000110100000
3101002010021111020012202
41202023311333012200
53211402400301344
6120233132112332
710421353054604
oct1421365770640
9332107436182
10105425400224
114078a987641
12185229056a8
139c31834031
145161819504
152b206c094e
hex188bd7f1a0

105425400224 has 48 divisors (see below), whose sum is σ = 208177796736. Its totient is φ = 52555104000.

The previous prime is 105425400211. The next prime is 105425400229. The reversal of 105425400224 is 422004524501.

It is a super-2 number, since 2×1054254002242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105425400229) 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 7 ways as a sum of consecutive naturals, for example, 16089749 + ... + 16096299.

It is an arithmetic number, because the mean of its divisors is an integer number (4337037432).

Almost surely, 2105425400224 is an apocalyptic number.

It is an amenable number.

105425400224 is a deficient number, since it is larger than the sum of its proper divisors (102752396512).

105425400224 is an equidigital number, since it uses as much as digits as its factorization.

105425400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7989 (or 7981 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 105425400224 its reverse (422004524501), we get a palindrome (527429924725).

The spelling of 105425400224 in words is "one hundred five billion, four hundred twenty-five million, four hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 631 797 1262 1594 2524 3188 5048 6376 6551 10096 12752 13102 20192 25504 26204 52408 104816 209632 502907 1005814 2011628 4023256 4133681 5221147 8046512 8267362 10442294 16093024 16534724 20884588 33069448 41769176 66138896 83538352 132277792 167076704 3294543757 6589087514 13178175028 26356350056 52712700112 105425400224