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3486650636568 = 23311401105131337
BaseRepresentation
bin110010101111001100100…
…100101001100100011000
3110100022122200022001200210
4302233030210221210120
5424111130030332233
611225424543331120
7506621311262511
oct62571444514430
913308580261623
103486650636568
111124753429910
124838a02b0aa0
131c3a360b6758
14c0a7d20ba08
1560a68415163
hex32bcc929918

3486650636568 has 128 divisors (see below), whose sum is σ = 9542135197440. Its totient is φ = 1052889600000.

The previous prime is 3486650636563. The next prime is 3486650636627. The reversal of 3486650636568 is 8656360566843.

It is a happy number.

It is a super-2 number, since 2×34866506365682 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 3486650636499 and 3486650636508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3486650636563) 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 31 ways as a sum of consecutive naturals, for example, 111247396 + ... + 111278732.

It is an arithmetic number, because the mean of its divisors is an integer number (74547931230).

Almost surely, 23486650636568 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 3486650636568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4771067598720).

3486650636568 is an abundant number, since it is smaller than the sum of its proper divisors (6055484560872).

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

3486650636568 is a wasteful number, since it uses less digits than its factorization.

3486650636568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32809 (or 32805 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 66.

The spelling of 3486650636568 in words is "three trillion, four hundred eighty-six billion, six hundred fifty million, six hundred thirty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 401 802 1051 1203 1604 2102 2406 3153 3208 4204 4411 4812 6306 8408 8822 9624 11561 12612 13233 17644 23122 25224 26466 31337 34683 35288 46244 52932 62674 69366 92488 94011 105864 125348 138732 188022 250696 277464 344707 376044 421451 689414 752088 842902 1034121 1264353 1378828 1685804 2068242 2528706 2757656 3371608 4136484 4635961 5057412 8272968 9271922 10114824 12566137 13907883 18543844 25132274 27815766 32935187 37087688 37698411 50264548 55631532 65870374 75396822 98805561 100529096 111263064 131740748 138227507 150793644 197611122 263481496 276455014 301587288 362287057 395222244 414682521 552910028 724574114 790444488 829365042 1086861171 1105820056 1449148228 1658730084 2173722342 2898296456 3317460168 4347444684 8694889368 13207009987 26414019974 39621029961 52828039948 79242059922 105656079896 145277109857 158484119844 290554219714 316968239688 435831329571 581108439428 871662659142 1162216878856 1743325318284 3486650636568