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401333216036625 = 32533136731356301
BaseRepresentation
bin101101101000000101010101…
…1110001110100011100010001
31221122000002011212110001121200
41123100022223301310130101
5410100420411301133000
63541321533441341413
7150351240140153655
oct13320125361643421
91848002155401550
10401333216036625
11106971508798824
1239019096037869
13142c27380a2222
1471168ba3dca65
15315e8e8197500
hex16d02abc74711

401333216036625 has 96 divisors (see below), whose sum is σ = 748842675449856. Its totient is φ = 206575304400000.

The previous prime is 401333216036609. The next prime is 401333216036639. The reversal of 401333216036625 is 526630612333104.

401333216036625 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 3 + 3 + 2 + 16 + 0 + 3 + 6 + 625 = 666.

It is not a de Polignac number, because 401333216036625 - 24 = 401333216036609 is a prime.

It is a super-2 number, since 2×4013332160366252 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 2879026 + ... + 28477275.

It is an arithmetic number, because the mean of its divisors is an integer number (7800444535936).

Almost surely, 2401333216036625 is an apocalyptic number.

401333216036625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401333216036625 is a deficient number, since it is larger than the sum of its proper divisors (347509459413231).

401333216036625 is a wasteful number, since it uses less digits than its factorization.

401333216036625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31356720 (or 31356707 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

Adding to 401333216036625 its reverse (526630612333104), we get a palindrome (927963828369729).

The spelling of 401333216036625 in words is "four hundred one trillion, three hundred thirty-three billion, two hundred sixteen million, thirty-six thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 125 155 225 279 367 375 465 775 1101 1125 1395 1835 2325 3303 3875 5505 6975 9175 11377 11625 16515 27525 34131 34875 45875 56885 82575 102393 137625 170655 284425 412875 511965 853275 1422125 2559825 4266375 12799125 31356301 94068903 156781505 282206709 470344515 783907525 972045331 1411033545 2351722575 2916135993 3919537625 4860226655 7055167725 8748407979 11507762467 11758612875 14580679965 24301133275 34523287401 35275838625 43742039895 57538812335 72903399825 103569862203 121505666375 172616437005 218710199475 287694061675 356740636477 364516999125 517849311015 863082185025 1070221909431 1093550997375 1438470308375 1783703182385 2589246555075 3210665728293 4315410925125 5351109547155 8918515911925 12946232775375 16053328641465 26755547735775 44592579559625 80266643207325 133777738678875 401333216036625