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20424602016 = 2532713779327
BaseRepresentation
bin10011000001011001…
…101011000110100000
31221201102111021201100
4103001121223012200
5313312144231031
613214414034400
71322066152440
oct230131530640
957642437640
1020424602016
118731178885
123b601a8a00
131c06651230
14dba852120
157e818dde6
hex4c166b1a0

20424602016 has 144 divisors (see below), whose sum is σ = 71486198784. Its totient is φ = 5386701312.

The previous prime is 20424601973. The next prime is 20424602063. The reversal of 20424602016 is 61020642402.

20424602016 is a `hidden beast` number, since 2 + 0 + 42 + 4 + 602 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363456 + ... + 415871.

It is an arithmetic number, because the mean of its divisors is an integer number (496431936).

Almost surely, 220424602016 is an apocalyptic number.

20424602016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20424602016 is an abundant number, since it is smaller than the sum of its proper divisors (51061596768).

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

20424602016 is a wasteful number, since it uses less digits than its factorization.

20424602016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779363 (or 779352 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20424602016 in words is "twenty billion, four hundred twenty-four million, six hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 779327 1558654 2337981 3117308 4675962 5455289 6234616 7013943 9351924 10131251 10910578 12469232 14027886 16365867 18703848 20262502 21821156 24938464 28055772 30393753 32731734 37407696 40525004 43642312 49097601 56111544 60787506 65463468 70918757 74815392 81050008 87284624 91181259 98195202 112223088 121575012 130926936 141837514 162100016 174569248 182362518 196390404 212756271 224446176 243150024 261853872 283675028 324200032 364725036 392780808 425512542 486300048 523707744 567350056 638268813 729450072 785561616 851025084 972600096 1134700112 1276537626 1458900144 1571123232 1702050168 2269400224 2553075252 2917800288 3404100336 5106150504 6808200672 10212301008 20424602016