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20218404960 = 25325131080043
BaseRepresentation
bin10010110101000111…
…000110000001100000
31221012001111101112100
4102311013012001200
5312401402424320
613142130330400
71314013415025
oct226507060140
957161441470
1020218404960
118635842996
123b03129a00
131ba2a07340
14d9b2d954c
157d500d790
hex4b51c6060

20218404960 has 144 divisors (see below), whose sum is σ = 74302707024. Its totient is φ = 4976833536.

The previous prime is 20218404889. The next prime is 20218404961. The reversal of 20218404960 is 6940481202.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20218404961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521302 + ... + 558741.

It is an arithmetic number, because the mean of its divisors is an integer number (515991021).

Almost surely, 220218404960 is an apocalyptic number.

20218404960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20218404960 is an abundant number, since it is smaller than the sum of its proper divisors (54084302064).

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

20218404960 is a wasteful number, since it uses less digits than its factorization.

20218404960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080077 (or 1080066 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20218404960 in words is "twenty billion, two hundred eighteen million, four hundred four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 1080043 2160086 3240129 4320172 5400215 6480258 8640344 9720387 10800430 12960516 14040559 16200645 17280688 19440774 21600860 25921032 28081118 32401290 34561376 38881548 42121677 43201720 48601935 51842064 56162236 64802580 70202795 77763096 84243354 86403440 97203870 103684128 112324472 126365031 129605160 140405590 155526192 168486708 172806880 194407740 210608385 224648944 252730062 259210320 280811180 311052384 336973416 388815480 421216770 449297888 505460124 518420640 561622360 631825155 673946832 777630960 842433540 1010920248 1123244720 1263650310 1347893664 1555261920 1684867080 2021840496 2246489440 2527300620 3369734160 4043680992 5054601240 6739468320 10109202480 20218404960