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21106751336 = 231117101163857
BaseRepresentation
bin10011101010000011…
…110111011101101000
32000110222002001122222
4103222003313131220
5321211312020321
613410222533212
71345021266116
oct235203673550
960428061588
1021106751336
118a51235750
124110737208
131cb4a80598
1410432a0ab6
15837ed73ab
hex4ea0f7768

21106751336 has 128 divisors (see below), whose sum is σ = 46502501760. Its totient is φ = 8875008000.

The previous prime is 21106751329. The next prime is 21106751381. The reversal of 21106751336 is 63315760112.

It is a junction number, because it is equal to n+sod(n) for n = 21106751296 and 21106751305.

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 31 ways as a sum of consecutive naturals, for example, 24628220 + ... + 24629076.

It is an arithmetic number, because the mean of its divisors is an integer number (363300795).

Almost surely, 221106751336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21106751336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23251250880).

21106751336 is an abundant number, since it is smaller than the sum of its proper divisors (25395750424).

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

21106751336 is a wasteful number, since it uses less digits than its factorization.

21106751336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 21106751336 in words is "twenty-one billion, one hundred six million, seven hundred fifty-one thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 101 136 163 187 202 326 374 404 652 748 808 857 1111 1304 1496 1714 1717 1793 2222 2771 3428 3434 3586 4444 5542 6856 6868 7172 8888 9427 11084 13736 14344 14569 16463 18854 18887 22168 29138 30481 32926 37708 37774 58276 60962 65852 75416 75548 86557 116552 121924 131704 139691 151096 160259 173114 181093 243848 279382 279871 320518 346228 362186 558764 559742 641036 692456 724372 952127 1117528 1119484 1282072 1448744 1471469 1536601 1904254 2238968 2374747 2942938 3073202 3078581 3808508 4749494 5885876 6146404 6157162 7617016 9498988 11771752 12292808 12314324 14108791 16186159 18997976 24628648 26122217 28217582 32372318 52244434 56435164 64744636 104488868 112870328 129489272 155196701 208977736 239849447 310393402 479698894 620786804 959397788 1241573608 1918795576 2638343917 5276687834 10553375668 21106751336