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426865445640 = 233351792208077
BaseRepresentation
bin1100011011000110010…
…10011100101100001000
31111210210222122102011000
412031203022130230020
523443210023230030
6524033235535000
742561060264264
oct6154312345410
91453728572130
10426865445640
1115503a463337
126a89045a460
133133a49a43a
14169361bb0a4
15b185250860
hex636329cb08

426865445640 has 128 divisors (see below), whose sum is σ = 1430834544000. Its totient is φ = 113194808064.

The previous prime is 426865445639. The next prime is 426865445647. The reversal of 426865445640 is 46544568624.

426865445640 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 6 + 544 + 56 + 40 = 666.

It is a super-3 number, since 3×4268654456403 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (426865445647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910719 + ... + 1297358.

It is an arithmetic number, because the mean of its divisors is an integer number (11178394875).

Almost surely, 2426865445640 is an apocalyptic number.

426865445640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426865445640 is an abundant number, since it is smaller than the sum of its proper divisors (1003969098360).

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

426865445640 is a wasteful number, since it uses less digits than its factorization.

426865445640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208276 (or 2208266 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 426865445640 in words is "four hundred twenty-six billion, eight hundred sixty-five million, four hundred forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 179 180 216 270 358 360 537 540 716 895 1074 1080 1432 1611 1790 2148 2685 3222 3580 4296 4833 5370 6444 7160 8055 9666 10740 12888 16110 19332 21480 24165 32220 38664 48330 64440 96660 193320 2208077 4416154 6624231 8832308 11040385 13248462 17664616 19872693 22080770 26496924 33121155 39745386 44161540 52993848 59618079 66242310 79490772 88323080 99363465 119236158 132484620 158981544 198726930 238472316 264969240 298090395 395245783 397453860 476944632 596180790 790491566 794907720 1185737349 1192361580 1580983132 1976228915 2371474698 2384723160 3161966264 3557212047 3952457830 4742949396 5928686745 7114424094 7904915660 9485898792 10671636141 11857373490 14228848188 15809831320 17786060235 21343272282 23714746980 28457696376 35572120470 42686544564 47429493960 53358180705 71144240940 85373089128 106716361410 142288481880 213432722820 426865445640