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106040242064 = 2461337322397
BaseRepresentation
bin110001011000001111…
…1011010111110010000
3101010201010102102122202
41202300133122332100
53214132300221224
6120414134222332
710442530120451
oct1426037327620
9333633372582
10106040242064
1140a75a52399
12186747b49a8
139ccc028283
1451bd347128
152b59670eae
hex18b07daf90

106040242064 has 40 divisors (see below), whose sum is σ = 209441347128. Its totient is φ = 51996026880.

The previous prime is 106040242051. The next prime is 106040242097. The reversal of 106040242064 is 460242040601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8128825600 + 97911416464 = 90160^2 + 312908^2 .

It is a super-2 number, since 2×1060402420642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 167714 + ... + 490110.

Almost surely, 2106040242064 is an apocalyptic number.

It is an amenable number.

106040242064 is a deficient number, since it is larger than the sum of its proper divisors (103401105064).

106040242064 is a wasteful number, since it uses less digits than its factorization.

106040242064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322803 (or 322797 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 106040242064 its reverse (460242040601), we get a palindrome (566282282665).

The spelling of 106040242064 in words is "one hundred six billion, forty million, two hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 61 122 244 337 488 674 976 1348 2696 5392 20557 41114 82228 164456 322397 328912 644794 1289588 2579176 5158352 19666217 39332434 78664868 108647789 157329736 217295578 314659472 434591156 869182312 1738364624 6627515129 13255030258 26510060516 53020121032 106040242064