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22013899268064 = 2531133162980349
BaseRepresentation
bin1010000000101100000101…
…01001010101111111100000
32212221111201111020022221220
411000112002221111333200
510341133431203034224
6114453013512415040
74431310642244244
oct500260251257740
985844644208856
1022013899268064
117018051265720
1225765363a7480
13c38b95318282
1456169aa82424
152829731ea279
hex140582a55fe0

22013899268064 has 96 divisors (see below), whose sum is σ = 63230256028800. Its totient is φ = 6650724748800.

The previous prime is 22013899268063. The next prime is 22013899268117. The reversal of 22013899268064 is 46086299831022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×220138992680642 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22013899267989 and 22013899268007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013899268063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31140639 + ... + 31839710.

It is an arithmetic number, because the mean of its divisors is an integer number (658648500300).

Almost surely, 222013899268064 is an apocalyptic number.

22013899268064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22013899268064 is an abundant number, since it is smaller than the sum of its proper divisors (41216356760736).

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

22013899268064 is a wasteful number, since it uses less digits than its factorization.

22013899268064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62980704 (or 62980696 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 22013899268064 in words is "twenty-two trillion, thirteen billion, eight hundred ninety-nine million, two hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 331 352 528 662 993 1056 1324 1986 2648 3641 3972 5296 7282 7944 10592 10923 14564 15888 21846 29128 31776 43692 58256 87384 116512 174768 349536 62980349 125960698 188941047 251921396 377882094 503842792 692783839 755764188 1007685584 1385567678 1511528376 2015371168 2078351517 2771135356 3023056752 4156703034 5542270712 6046113504 8313406068 11084541424 16626812136 20846495519 22169082848 33253624272 41692991038 62539486557 66507248544 83385982076 125078973114 166771964152 229311450709 250157946228 333543928304 458622901418 500315892456 667087856608 687934352127 917245802836 1000631784912 1375868704254 1834491605672 2001263569824 2751737408508 3668983211344 5503474817016 7337966422688 11006949634032 22013899268064