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20906721966 = 23132311275237
BaseRepresentation
bin10011011110001000…
…110100001010101110
31222222000200111221210
4103132020310022232
5320304110100331
613334315335250
71340042130114
oct233610641256
958860614853
1020906721966
118959332719
124075751526
131c824b5b00
1410248b1ab4
15825674446
hex4de2342ae

20906721966 has 96 divisors (see below), whose sum is σ = 47114846208. Its totient is φ = 6175128960.

The previous prime is 20906721929. The next prime is 20906721971. The reversal of 20906721966 is 66912760902.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3989500 + ... + 3994736.

It is an arithmetic number, because the mean of its divisors is an integer number (490779648).

Almost surely, 220906721966 is an apocalyptic number.

20906721966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20906721966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23557423104).

20906721966 is an abundant number, since it is smaller than the sum of its proper divisors (26208124242).

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

20906721966 is a wasteful number, since it uses less digits than its factorization.

20906721966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5426 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 20906721966 in words is "twenty billion, nine hundred six million, seven hundred twenty-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 127 169 186 254 338 381 403 507 762 806 1014 1209 1651 2418 3302 3937 4953 5237 5239 7874 9906 10474 10478 11811 15711 15717 21463 23622 31422 31434 42926 51181 64389 68081 102362 128778 136162 153543 162347 204243 307086 324694 408486 487041 665099 665353 885053 974082 1330198 1330706 1770106 1995297 1996059 2110511 2655159 3990594 3992118 4221022 5310318 6331533 8646287 12663066 17292574 20618069 25938861 27436643 41236138 51877722 54873286 61854207 82309929 112401731 123708414 164619858 224803462 268034897 337205193 536069794 674410386 804104691 1608209382 3484453661 6968907322 10453360983 20906721966