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27868749408 = 2533271911863
BaseRepresentation
bin11001111101000110…
…110101111001100000
32122221012222011012000
4121331012311321200
5424033344440113
620445220004000
72004420314163
oct317506657140
978835864160
1027868749408
1110901200a05
125499230600
132821984c86
1414c5385ada
15ad198c373
hex67d1b5e60

27868749408 has 96 divisors (see below), whose sum is σ = 81320601600. Its totient is φ = 9285383808.

The previous prime is 27868749407. The next prime is 27868749421. The reversal of 27868749408 is 80494786872.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27868749407) 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 15 ways as a sum of consecutive naturals, for example, 2343285 + ... + 2355147.

It is an arithmetic number, because the mean of its divisors is an integer number (847089600).

Almost surely, 227868749408 is an apocalyptic number.

It is an amenable number.

27868749408 is an abundant number, since it is smaller than the sum of its proper divisors (53451852192).

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

27868749408 is a wasteful number, since it uses less digits than its factorization.

27868749408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14601 (or 14587 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 27868749408 in words is "twenty-seven billion, eight hundred sixty-eight million, seven hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2719 5438 8157 10876 11863 16314 21752 23726 24471 32628 35589 43504 47452 48942 65256 71178 73413 87008 94904 97884 106767 130512 142356 146826 189808 195768 213534 261024 284712 293652 320301 379616 391536 427068 569424 587304 640602 783072 854136 1138848 1174608 1281204 1708272 2349216 2562408 3416544 5124816 10249632 32255497 64510994 96766491 129021988 193532982 258043976 290299473 387065964 516087952 580598946 774131928 870898419 1032175904 1161197892 1548263856 1741796838 2322395784 3096527712 3483593676 4644791568 6967187352 9289583136 13934374704 27868749408