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20114676900 = 22325227182471
BaseRepresentation
bin10010101110111011…
…011001110010100100
31220220211022110101100
4102232323121302210
5312143324130100
613123543200100
71311313634613
oct225673316244
956824273340
1020114676900
11859223551a
123a94446030
131b873899a6
14d8b61787a
157cad6e400
hex4aeed9ca4

20114676900 has 108 divisors (see below), whose sum is σ = 63281755264. Its totient is φ = 5344056000.

The previous prime is 20114676899. The next prime is 20114676919. The reversal of 20114676900 is 967641102.

It is a super-2 number, since 2×201146769002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 202665 + ... + 285135.

Almost surely, 220114676900 is an apocalyptic number.

20114676900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20114676900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31640877632).

20114676900 is an abundant number, since it is smaller than the sum of its proper divisors (43167078364).

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

20114676900 is a wasteful number, since it uses less digits than its factorization.

20114676900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82762 (or 82752 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 20114676900 in words is "twenty billion, one hundred fourteen million, six hundred seventy-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 271 300 450 542 813 900 1084 1355 1626 2439 2710 3252 4065 4878 5420 6775 8130 9756 12195 13550 16260 20325 24390 27100 40650 48780 60975 81300 82471 121950 164942 243900 247413 329884 412355 494826 742239 824710 989652 1237065 1484478 1649420 2061775 2474130 2968956 3711195 4123550 4948260 6185325 7422390 8247100 12370650 14844780 18555975 22349641 24741300 37111950 44699282 67048923 74223900 89398564 111748205 134097846 201146769 223496410 268195692 335244615 402293538 446992820 558741025 670489230 804587076 1005733845 1117482050 1340978460 1676223075 2011467690 2234964100 3352446150 4022935380 5028669225 6704892300 10057338450 20114676900