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427668358087872 = 26321167498162577
BaseRepresentation
bin110000100111101100100110…
…0100100001100010011000000
32002002020200210012100022112100
41201033121030210030103000
5422023404244132302442
64113324044220030400
7156040006411151346
oct14117311444142300
92062220705308470
10427668358087872
111142a514a938770
123bb70bab992400
1315482c510131c5
14778738a8b3996
15346997e91484c
hex184f64c90c4c0

427668358087872 has 84 divisors (see below), whose sum is σ = 1337273596995336. Its totient is φ = 129596472145920.

The previous prime is 427668358087853. The next prime is 427668358087877. The reversal of 427668358087872 is 278780853866724.

427668358087872 is a `hidden beast` number, since 4 + 2 + 76 + 68 + 358 + 0 + 8 + 78 + 72 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 427668358087791 and 427668358087800.

It is not an unprimeable number, because it can be changed into a prime (427668358087877) 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 11 ways as a sum of consecutive naturals, for example, 33749074953 + ... + 33749087624.

It is an arithmetic number, because the mean of its divisors is an integer number (15919923773754).

Almost surely, 2427668358087872 is an apocalyptic number.

It is an amenable number.

427668358087872 is an abundant number, since it is smaller than the sum of its proper divisors (909605238907464).

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

427668358087872 is a wasteful number, since it uses less digits than its factorization.

427668358087872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67498162606 (or 67498162593 counting only the distinct ones).

The product of its (nonzero) digits is 12138577920, while the sum is 81.

The spelling of 427668358087872 in words is "four hundred twenty-seven trillion, six hundred sixty-eight billion, three hundred fifty-eight million, eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 67498162577 134996325154 202494487731 269992650308 404988975462 539985300616 607483463193 742479788347 809977950924 1079970601232 1214966926386 1484959576694 1619955901848 2159941202464 2227439365041 2429933852772 2969919153388 3239911803696 4319882404928 4454878730082 4859867705544 5939838306776 6479823607392 6682318095123 8909757460164 9719735411088 11879676613552 12959647214784 13364636190246 17819514920328 19439470822176 23759353227104 26729272380492 35639029840656 38878941644352 47518706454208 53458544760984 71278059681312 106917089521968 142556119362624 213834179043936 427668358087872