Search a number
-
+
20004352467736 = 2371383354793337
BaseRepresentation
bin1001000110001101000000…
…10100101010001100011000
32121211101201201101202221111
410203012200110222030120
510110222403212431421
6110313512254350104
74133160334261120
oct443064024521430
977741651352844
1020004352467736
11641288650150a
1222b0b891bb334
13b2152cc43930
144d2304321c80
1524a55c030ee1
hex1231a052a318

20004352467736 has 128 divisors (see below), whose sum is σ = 46733754170880. Its totient is φ = 7816174672896.

The previous prime is 20004352467727. The next prime is 20004352467769. The reversal of 20004352467736 is 63776425340002.

It is a self number, because there is not a number n which added to its sum of digits gives 20004352467736.

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, 214277260 + ... + 214370596.

It is an arithmetic number, because the mean of its divisors is an integer number (365107454460).

Almost surely, 220004352467736 is an apocalyptic number.

20004352467736 is a gapful number since it is divisible by the number (26) 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 20004352467736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23366877085440).

20004352467736 is an abundant number, since it is smaller than the sum of its proper divisors (26729401703144).

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

20004352467736 is a wasteful number, since it uses less digits than its factorization.

20004352467736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96993 (or 96989 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 49.

The spelling of 20004352467736 in words is "twenty trillion, four billion, three hundred fifty-two million, four hundred sixty-seven thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 83 91 104 166 182 332 364 581 664 728 1079 1162 2158 2324 3547 4316 4648 7094 7553 8632 14188 15106 24829 28376 30212 46111 49658 60424 92222 93337 99316 184444 186674 198632 294401 322777 368888 373348 588802 645554 653359 746696 1177604 1213381 1291108 1306718 2060807 2355208 2426762 2582216 2613436 3827213 4121614 4853524 5226872 7654426 7746971 8243228 8493667 9707048 15308852 15493942 16486456 16987334 26790491 30617704 30987884 33974668 53580982 54228797 61975768 67949336 100710623 107161964 108457594 201421246 214323928 216915188 331066339 402842492 433830376 662132678 704974361 805684984 1324265356 1409948722 2317464373 2648530712 2819897444 4303862407 4634928746 5639794888 8607724814 9269857492 17215449628 18539714984 27478506137 30127036849 34430899256 54957012274 60254073698 109914024548 120508147396 192349542959 219828049096 241016294792 357220579781 384699085918 714441159562 769398171836 1428882319124 1538796343672 2500544058467 2857764638248 5001088116934 10002176233868 20004352467736