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20435067302748 = 22372231660391009
BaseRepresentation
bin1001010010101111010001…
…11011010111001101011100
32200100120110222100102121020
410221113220323113031130
510134302004212141443
6111243423524204140
74206246006050100
oct451275073271534
980316428312536
1020435067302748
116569510829a7a
122360552839650
13b53031a7b957
145090c3849900
1525686a1a6583
hex1295e8ed735c

20435067302748 has 144 divisors (see below), whose sum is σ = 57882325052160. Its totient is φ = 5584341159936.

The previous prime is 20435067302707. The next prime is 20435067302801. The reversal of 20435067302748 is 84720376053402.

It is a self number, because there is not a number n which added to its sum of digits gives 20435067302748.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224493468 + ... + 224584476.

It is an arithmetic number, because the mean of its divisors is an integer number (401960590640).

Almost surely, 220435067302748 is an apocalyptic number.

20435067302748 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 20435067302748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28941162526080).

20435067302748 is an abundant number, since it is smaller than the sum of its proper divisors (37447257749412).

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

20435067302748 is a wasteful number, since it uses less digits than its factorization.

20435067302748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107656 (or 107647 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 20435067302748 in words is "twenty trillion, four hundred thirty-five billion, sixty-seven million, three hundred two thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 966 1127 1932 2254 3381 4508 6762 13524 16603 33206 49809 66412 91009 99618 116221 182018 199236 232442 273027 348663 364036 381869 464884 546054 637063 697326 763738 813547 1092108 1145607 1274126 1394652 1527476 1627094 1911189 2093207 2291214 2440641 2548252 2673083 3254188 3822378 4186414 4459441 4582428 4881282 5346166 6279621 7644756 8019249 8372828 8918882 9762564 10692332 12559242 13378323 14652449 16038498 17837764 18711581 25118484 26756646 29304898 32076996 37423162 43957347 53513292 56134743 58609796 74846324 87914694 102567143 112269486 175829388 205134286 224538972 307701429 410268572 615402858 1230805716 1511022427 3022044854 4533067281 6044089708 9066134562 10577156989 18132269124 21154313978 31731470967 34753515821 42308627956 63462941934 69507031642 74040098923 104260547463 126925883868 139014063284 148080197846 208521094926 222120296769 243274610747 296160395692 417042189852 444240593538 486549221494 729823832241 888481187076 973098442988 1459647664482 1702922275229 2919295328964 3405844550458 5108766825687 6811689100916 10217533651374 20435067302748