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422875520677568 = 2678311372512927
BaseRepresentation
bin110000000100110100110000…
…1001100011011011011000000
32001110021111122010012010112102
41200021221201030123123000
5420411343031243140233
64055214155440445532
7155033514421306010
oct14011514114333300
92043244563163472
10422875520677568
11112817557098022
123b5181383198a8
13151c5cb516047a
14765d3da5adc40
1533d4e6939b1e8
hex1809a6131b6c0

422875520677568 has 56 divisors (see below), whose sum is σ = 970575743327232. Its totient is φ = 179048843506944.

The previous prime is 422875520677537. The next prime is 422875520677667. The reversal of 422875520677568 is 865776025578224.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×4228755206775683 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 422875520677495 and 422875520677504.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5686219280 + ... + 5686293647.

It is an arithmetic number, because the mean of its divisors is an integer number (17331709702272).

Almost surely, 2422875520677568 is an apocalyptic number.

It is an amenable number.

422875520677568 is an abundant number, since it is smaller than the sum of its proper divisors (547700222649664).

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

422875520677568 is a wasteful number, since it uses less digits than its factorization.

422875520677568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11372513029 (or 11372513019 counting only the distinct ones).

The product of its (nonzero) digits is 3161088000, while the sum is 74.

The spelling of 422875520677568 in words is "four hundred twenty-two trillion, eight hundred seventy-five billion, five hundred twenty million, six hundred seventy-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 581 664 1162 1328 2324 2656 4648 5312 9296 18592 37184 11372512927 22745025854 45490051708 79607590489 90980103416 159215180978 181960206832 318430361956 363920413664 636860723912 727840827328 943918572941 1273721447824 1887837145882 2547442895648 3775674291764 5094885791296 6607430010587 7551348583528 13214860021174 15102697167056 26429720042348 30205394334112 52859440084696 60410788668224 105718880169392 211437760338784 422875520677568