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20884209040 = 2454353114547
BaseRepresentation
bin10011011100110010…
…111011110110010000
31222220110022202000201
4103130302323312100
5320232324142130
613332153024544
71336346563552
oct233462736620
958813282021
1020884209040
1189476563a2
12406a0b5154
131c7a932956
1410218d14d2
158236c8bca
hex4dccbbd90

20884209040 has 80 divisors (see below), whose sum is σ = 50622884928. Its totient is φ = 8005390848.

The previous prime is 20884209023. The next prime is 20884209077. The reversal of 20884209040 is 4090248802.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 125047 + ... + 239593.

Almost surely, 220884209040 is an apocalyptic number.

20884209040 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 20884209040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25311442464).

20884209040 is an abundant number, since it is smaller than the sum of its proper divisors (29738675888).

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

20884209040 is a wasteful number, since it uses less digits than its factorization.

20884209040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114656 (or 114650 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 20884209040 in words is "twenty billion, eight hundred eighty-four million, two hundred nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 53 80 86 106 172 212 215 265 344 424 430 530 688 848 860 1060 1720 2120 2279 3440 4240 4558 9116 11395 18232 22790 36464 45580 91160 114547 182320 229094 458188 572735 916376 1145470 1832752 2290940 4581880 4925521 6070991 9163760 9851042 12141982 19702084 24283964 24627605 30354955 39404168 48567928 49255210 60709910 78808336 97135856 98510420 121419820 197020840 242839640 261052613 394041680 485679280 522105226 1044210452 1305263065 2088420904 2610526130 4176841808 5221052260 10442104520 20884209040