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21707368368 = 2437194497573
BaseRepresentation
bin10100001101110111…
…000010011110110000
32002000211020120100020
4110031313002132300
5323424041241433
613550000123440
71365633405150
oct241567023660
962024216306
1021707368368
11922a275164
124259906580
13207c333c8a
14109cd68760
15870ac7cb3
hex50ddc27b0

21707368368 has 160 divisors (see below), whose sum is σ = 67620672000. Its totient is φ = 5861818368.

The previous prime is 21707368363. The next prime is 21707368381. The reversal of 21707368368 is 86386370712.

It is a self number, because there is not a number n which added to its sum of digits gives 21707368368.

It is not an unprimeable number, because it can be changed into a prime (21707368363) 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 31 ways as a sum of consecutive naturals, for example, 2862630 + ... + 2870202.

It is an arithmetic number, because the mean of its divisors is an integer number (422629200).

Almost surely, 221707368368 is an apocalyptic number.

21707368368 is a gapful number since it is divisible by the number (28) 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 21707368368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33810336000).

21707368368 is an abundant number, since it is smaller than the sum of its proper divisors (45913303632).

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

21707368368 is a wasteful number, since it uses less digits than its factorization.

21707368368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8059 (or 8053 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 21707368368 in words is "twenty-one billion, seven hundred seven million, three hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 449 456 532 798 898 912 1064 1347 1596 1796 2128 2694 3143 3192 3592 5388 6286 6384 7184 7573 8531 9429 10776 12572 15146 17062 18858 21552 22719 25144 25593 30292 34124 37716 45438 50288 51186 53011 59717 60584 68248 75432 90876 102372 106022 119434 121168 136496 143887 150864 159033 179151 181752 204744 212044 238868 287774 318066 358302 363504 409488 424088 431661 477736 575548 636132 716604 848176 863322 955472 1007209 1151096 1272264 1433208 1726644 2014418 2302192 2544528 2866416 3021627 3400277 3453288 4028836 6043254 6800554 6906576 8057672 10200831 12086508 13601108 16115344 20401662 23801939 24173016 27202216 40803324 47603878 48346032 54404432 64605263 71405817 81606648 95207756 129210526 142811634 163213296 190415512 193815789 258421052 285623268 380831024 387631578 452236841 516842104 571246536 775263156 904473682 1033684208 1142493072 1356710523 1550526312 1808947364 2713421046 3101052624 3617894728 5426842092 7235789456 10853684184 21707368368