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21163436112 = 24371321132293
BaseRepresentation
bin10011101101011100…
…000110100001010000
32000121220201221120010
4103231130012201100
5321320314423422
613420005514520
71346310144630
oct235534064120
960556657503
1021163436112
118a80231875
124127712a40
131cc3739580
14104aa186c0
1583ce82b0c
hex4ed706850

21163436112 has 160 divisors (see below), whose sum is σ = 67350078208. Its totient is φ = 5576491008.

The previous prime is 21163436101. The next prime is 21163436171.

21163436112 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21163436112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9228438 + ... + 9230730.

Almost surely, 221163436112 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 21163436112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33675039104).

21163436112 is an abundant number, since it is smaller than the sum of its proper divisors (46186642096).

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

21163436112 is a wasteful number, since it uses less digits than its factorization.

21163436112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4431 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The spelling of 21163436112 in words is "twenty-one billion, one hundred sixty-three million, four hundred thirty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2113 2184 2293 4226 4368 4586 6339 6879 8452 9172 12678 13758 14791 16051 16904 18344 25356 27469 27516 29582 29809 32102 33808 36688 44373 48153 50712 54938 55032 59164 59618 64204 82407 88746 89427 96306 101424 109876 110064 118328 119236 128408 164814 177492 178854 192283 192612 208663 219752 236656 238472 256816 329628 354984 357708 384566 385224 417326 439504 476944 576849 625989 659256 709968 715416 769132 770448 834652 1153698 1251978 1318512 1430832 1538264 1669304 2307396 2503956 3076528 3338608 4614792 4845109 5007912 9229584 9690218 10015824 14535327 19380436 29070654 33915763 38760872 58141308 62986417 67831526 77521744 101747289 116282616 125972834 135663052 188959251 203494578 232565232 251945668 271326104 377918502 406989156 440904919 503891336 542652208 755837004 813978312 881809838 1007782672 1322714757 1511674008 1627956624 1763619676 2645429514 3023348016 3527239352 5290859028 7054478704 10581718056 21163436112