Search a number
-
+
20023345646720 = 275133836283687
BaseRepresentation
bin1001000110110000011000…
…11001111000110010000000
32121220012202101102020101222
410203120030121320302000
510111030302441143340
6110330333100214212
74134432112524563
oct443301431706200
977805671366358
1020023345646720
11641a942678a49
1222b47a9b3a368
13b23268b63790
144d31c6a024da
1524acbe6be8b5
hex12360c678c80

20023345646720 has 128 divisors (see below), whose sum is σ = 51685093232640. Its totient is φ = 7373930655744.

The previous prime is 20023345646701. The next prime is 20023345646749. The reversal of 20023345646720 is 2764654332002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 44717 + ... + 6328403.

It is an arithmetic number, because the mean of its divisors is an integer number (403789790880).

Almost surely, 220023345646720 is an apocalyptic number.

20023345646720 is a gapful number since it is divisible by the number (20) 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 20023345646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25842546616320).

20023345646720 is an abundant number, since it is smaller than the sum of its proper divisors (31661747585920).

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

20023345646720 is a wasteful number, since it uses less digits than its factorization.

20023345646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284102 (or 6284090 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 44.

Adding to 20023345646720 its reverse (2764654332002), we get a palindrome (22787999978722).

The spelling of 20023345646720 in words is "twenty trillion, twenty-three billion, three hundred forty-five million, six hundred forty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 383 416 520 640 766 832 1040 1532 1664 1915 2080 3064 3830 4160 4979 6128 7660 8320 9958 12256 15320 19916 24512 24895 30640 39832 49024 49790 61280 79664 99580 122560 159328 199160 245120 318656 398320 637312 796640 1593280 3186560 6283687 12567374 25134748 31418435 50269496 62836870 81687931 100538992 125673740 163375862 201077984 251347480 326751724 402155968 408439655 502694960 653503448 804311936 816879310 1005389920 1307006896 1633758620 2010779840 2406652121 2614013792 3267517240 4021559680 4813304242 5228027584 6535034480 9626608484 10456055168 12033260605 13070068960 19253216968 24066521210 26140137920 31286477573 38506433936 48133042420 52280275840 62572955146 77012867872 96266084840 125145910292 154025735744 156432387865 192532169680 250291820584 308051471488 312864775730 385064339360 500583641168 625729551460 770128678720 1001167282336 1251459102920 1540257357440 2002334564672 2502918205840 4004669129344 5005836411680 10011672823360 20023345646720