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61516424106 = 2341013759713
BaseRepresentation
bin111001010010101010…
…100010001110101010
312212210012000010120000
4321102222202032222
52001441201032411
644132114243430
74305301656144
oct712252421652
9185705003500
1061516424106
11240a8465a25
12bb09886576
135a54980067
142d9802dc94
151900943956
hexe52aa23aa

61516424106 has 40 divisors (see below), whose sum is σ = 139207170564. Its totient is φ = 20302444800.

The previous prime is 61516424071. The next prime is 61516424119. The reversal of 61516424106 is 60142461516.

61516424106 is a `hidden beast` number, since 6 + 1 + 5 + 1 + 642 + 4 + 1 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39557629881 + 21958794225 = 198891^2 + 148185^2 .

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 19 ways as a sum of consecutive naturals, for example, 1863495 + ... + 1896218.

Almost surely, 261516424106 is an apocalyptic number.

61516424106 is an abundant number, since it is smaller than the sum of its proper divisors (77690746458).

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

61516424106 is a wasteful number, since it uses less digits than its factorization.

61516424106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759828 (or 3759819 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 61516424106 in words is "sixty-one billion, five hundred sixteen million, four hundred twenty-four thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 909 1818 2727 5454 8181 16362 3759713 7519426 11279139 22558278 33837417 67674834 101512251 203024502 304536753 379731013 609073506 759462026 1139193039 2278386078 3417579117 6835158234 10252737351 20505474702 30758212053 61516424106