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20661411225 = 3527136474679
BaseRepresentation
bin10011001111100001…
…000001110110011001
31222022221002102212210
4103033201001312121
5314303310124400
613254113425333
71331003045340
oct231741016631
958287072783
1020661411225
118842912074
12400756b249
131c43725920
141000096b57
1580dd69950
hex4cf841d99

20661411225 has 96 divisors (see below), whose sum is σ = 42117304320. Its totient is φ = 8703325440.

The previous prime is 20661411223. The next prime is 20661411257. The reversal of 20661411225 is 52211416602.

It is not a de Polignac number, because 20661411225 - 21 = 20661411223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20661411192 and 20661411201.

It is not an unprimeable number, because it can be changed into a prime (20661411223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4413436 + ... + 4418114.

It is an arithmetic number, because the mean of its divisors is an integer number (438721920).

Almost surely, 220661411225 is an apocalyptic number.

20661411225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20661411225 is an abundant number, since it is smaller than the sum of its proper divisors (21455893095).

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

20661411225 is a wasteful number, since it uses less digits than its factorization.

20661411225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 20661411225 its reverse (52211416602), we get a palindrome (72872827827).

The spelling of 20661411225 in words is "twenty billion, six hundred sixty-one million, four hundred eleven thousand, two hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 195 273 325 455 525 647 975 1365 1941 2275 3235 4529 4679 6825 8411 9705 13587 14037 16175 22645 23395 25233 32753 42055 48525 58877 60827 67935 70185 98259 113225 116975 126165 163765 176631 182481 210275 294385 304135 339675 350925 425789 491295 630825 818825 883155 912405 1277367 1471925 1520675 2128945 2456475 3027313 4415775 4562025 6386835 9081939 10644725 15136565 21191191 31934175 39355069 45409695 63573573 75682825 105955955 118065207 196775345 227048475 275485483 317867865 529779775 590326035 826456449 983876725 1377427415 1589339325 2951630175 4132282245 6887137075 20661411225