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20404026444640 = 2553122917963821
BaseRepresentation
bin1001010001110101011101…
…01111111000101101100000
32200020121100200111110022211
410220322232233320231200
510133244421232212030
6111221251431011504
74204066540106356
oct450725657705540
980217320443284
1020404026444640
116557331aa5933
12235652b209b94
13b50125b723a7
145077bb0997d6
15255b4eeca12a
hex128eaebf8b60

20404026444640 has 96 divisors (see below), whose sum is σ = 49976789909760. Its totient is φ = 7863841843200.

The previous prime is 20404026444619. The next prime is 20404026444647. The reversal of 20404026444640 is 4644462040402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 20404026444593 and 20404026444602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20404026444647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7846071 + ... + 10117750.

It is an arithmetic number, because the mean of its divisors is an integer number (520591561560).

Almost surely, 220404026444640 is an apocalyptic number.

20404026444640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20404026444640 is an abundant number, since it is smaller than the sum of its proper divisors (29572763465120).

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

20404026444640 is a wasteful number, since it uses less digits than its factorization.

20404026444640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17964096 (or 17964088 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

The spelling of 20404026444640 in words is "twenty trillion, four hundred four billion, twenty-six million, four hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 229 248 310 458 496 620 916 992 1145 1240 1832 2290 2480 3664 4580 4960 7099 7328 9160 14198 18320 28396 35495 36640 56792 70990 113584 141980 227168 283960 567920 1135840 17963821 35927642 71855284 89819105 143710568 179638210 287421136 359276420 556878451 574842272 718552840 1113756902 1437105680 2227513804 2784392255 2874211360 4113715009 4455027608 5568784510 8227430018 8910055216 11137569020 16454860036 17820110432 20568575045 22275138040 32909720072 41137150090 44550276080 65819440144 82274300180 89100552160 127525165279 131638880288 164548600360 255050330558 329097200720 510100661116 637625826395 658194401440 1020201322232 1275251652790 2040402644464 2550503305580 4080805288928 5101006611160 10202013222320 20404026444640