Search a number
-
+
20104444242 = 2332919964513
BaseRepresentation
bin10010101110010100…
…010111100101010010
31220220010001120211000
4102232110113211102
5312133214203432
613122540002430
71311130646031
oct225624274522
956803046730
1020104444242
118587486583
123a90b30416
131b8521626c
14d8a112718
157c9eec57c
hex4ae517952

20104444242 has 64 divisors (see below), whose sum is σ = 46450080000. Its totient is φ = 6437781504.

The previous prime is 20104444201. The next prime is 20104444301. The reversal of 20104444242 is 24244440102.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 279378 + ... + 343890.

It is an arithmetic number, because the mean of its divisors is an integer number (725782500).

Almost surely, 220104444242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20104444242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23225040000).

20104444242 is an abundant number, since it is smaller than the sum of its proper divisors (26345635758).

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

20104444242 is a wasteful number, since it uses less digits than its factorization.

20104444242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64752 (or 64746 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 20104444242 its reverse (24244440102), we get a palindrome (44348884344).

The spelling of 20104444242 in words is "twenty billion, one hundred four million, four hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 199 261 398 522 597 783 1194 1566 1791 3582 5373 5771 10746 11542 17313 34626 51939 64513 103878 129026 155817 193539 311634 387078 580617 1161234 1741851 1870877 3483702 3741754 5612631 11225262 12838087 16837893 25676174 33675786 38514261 50513679 77028522 101027358 115542783 231085566 346628349 372304523 693256698 744609046 1116913569 2233827138 3350740707 6701481414 10052222121 20104444242