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4116706136704 = 27717270266947
BaseRepresentation
bin111011111001111110110…
…011101001001010000000
3112120112221022212201102201
4323321332303221022000
51014422003232333304
612431104431322544
7603264546542410
oct73717663511200
915515838781381
104116706136704
111347981323517
12565a18680454
1323b28576ba65
1410336d026640
1572141bc13a4
hex3be7ece9280

4116706136704 has 64 divisors (see below), whose sum is σ = 9924202330560. Its totient is φ = 1660520116224.

The previous prime is 4116706136671. The next prime is 4116706136713. The reversal of 4116706136704 is 4076316076114.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135118242 + ... + 135148705.

It is an arithmetic number, because the mean of its divisors is an integer number (155065661415).

Almost surely, 24116706136704 is an apocalyptic number.

It is an amenable number.

4116706136704 is an abundant number, since it is smaller than the sum of its proper divisors (5807496193856).

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

4116706136704 is a wasteful number, since it uses less digits than its factorization.

4116706136704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270266985 (or 270266973 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 4116706136704 in words is "four trillion, one hundred sixteen billion, seven hundred six million, one hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 3808 7616 15232 270266947 540533894 1081067788 1891868629 2162135576 3783737258 4324271152 4594538099 7567474516 8648542304 9189076198 15134949032 17297084608 18378152396 30269898064 32161766693 34594169216 36756304792 60539796128 64323533386 73512609584 121079592256 128647066772 147025219168 242159184512 257294133544 294050438336 514588267088 588100876672 1029176534176 2058353068352 4116706136704