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5105344125525 = 3527173791509307
BaseRepresentation
bin100101001001010111000…
…1110010001101001010101
3200002001210012200011200220
41022102232032101221111
51132121221044004100
614505210202424553
71034564121024420
oct112225616215125
920061705604626
105105344125525
111699189732226
126a5549502159
132b057cb0c957
141391584869b7
158cc05bdaaa0
hex4a4ae391a55

5105344125525 has 96 divisors (see below), whose sum is σ = 10241077386240. Its totient is φ = 2190787845120.

The previous prime is 5105344125523. The next prime is 5105344125571. The reversal of 5105344125525 is 5255214435015.

It is a happy number.

It is not a de Polignac number, because 5105344125525 - 21 = 5105344125523 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105344125523) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2627922 + ... + 4137228.

It is an arithmetic number, because the mean of its divisors is an integer number (106677889440).

Almost surely, 25105344125525 is an apocalyptic number.

It is an amenable number.

5105344125525 is an abundant number, since it is smaller than the sum of its proper divisors (5135733260715).

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

5105344125525 is a wasteful number, since it uses less digits than its factorization.

5105344125525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509723 (or 1509718 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 42.

The spelling of 5105344125525 in words is "five trillion, one hundred five billion, three hundred forty-four million, one hundred twenty-five thousand, five hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 357 379 425 525 595 1137 1275 1785 1895 2653 2975 5685 6443 7959 8925 9475 13265 19329 28425 32215 39795 45101 66325 96645 135303 161075 198975 225505 483225 676515 1127525 1509307 3382575 4527921 7546535 10565149 22639605 25658219 31695447 37732675 52825745 76974657 113198025 128291095 158477235 179607533 264128725 384873285 538822599 572027353 641455475 792386175 898037665 1716082059 1924366425 2694112995 2860136765 4004191471 4490188325 8580410295 9724465001 12012574413 13470564975 14300683825 20020957355 29173395003 42902051475 48622325005 60062872065 68071255007 100104786775 145866975015 204213765021 243111625025 300314360325 340356275035 729334875075 1021068825105 1701781375175 5105344125525